摘要：
Due to its positivity-preserving, entropy condition satisfying and easy extension to other types of hyperbolic equations, the HLLC scheme has become a popular Riemann solver to calculate numerical fluxes. However, there are two drawbacks needed to be tackled before it becomes an impeccable flux solver for various compressible flows: one is the numerical instability in calculating multidimensional strong shock waves; The other is the failure to converge to the desired limit solution in calculating low Mach number flows approaching the incompressible limit. In the current work, the shock instability of the HLLC scheme is cured by simply modifying the nonlinear wave speeds and a hybrid strategy is adopted for accurate calculations of contact waves and rarefaction waves. In addition, the performance of the HLLC scheme in simulating low Mach number flows is improved by controlling the excessive numerical dissipation in momentum equations under low-speed flow regime. The excellent performance of the proposed scheme for simulating flow problems across high and low Mach numbers are demonstrated by a suit of canonical numerical test cases.
Due to its positivity-preserving, entropy condition satisfying and easy extension to other types of hyperbolic equations, the HLLC scheme has become a popular Riemann solver to calculate numerical fluxes. However, there are two drawbacks needed to be tackled before it becomes an impeccable flux solver for various compressible flows: one is the numerical instability in calculating multidimensional strong shock waves; The other is the failure to converge to the desired limit solution in calculating low Mach number flows approaching the incompressible limit. In the current work, the shock instability of the HLLC scheme is cured by simply modifying the nonlinear wave speeds and a hybrid strategy is adopted for accurate calculations of contact waves and rarefaction waves. In addition, the performance of the HLLC scheme in simulating low Mach number flows is improved by controlling the excessive numerical dissipation in momentum equations under low-speed flow regime. The excellent performance of the proposed scheme for simulating flow problems across high and low Mach numbers are demonstrated by a suit of canonical numerical test cases.
作者机构：
[Fan, Ting] College of Mathematics and Statistics, Hengyang Normal University, Hengyang, 421008, China. Electronic address: vantina1989@hynu.edu.cn;[Li, Geng] School of Psychology, Research Center for Exercise and Brain Science, Shanghai University of Sport, Shanghai, 200438, China. Electronic address: ligeng@sus.edu.cn
通讯机构：
[Fan, Ting] C;[Li, Geng] S;College of Mathematics and Statistics, Hengyang Normal University, Hengyang, 421008, China. Electronic address:;School of Psychology, Research Center for Exercise and Brain Science, Shanghai University of Sport, Shanghai, 200438, China. Electronic address:
关键词：
College students;Ego depletion;Moderated mediation;Negative life events;Physical exercise;Self-control
摘要：
Background Amid rising academic pressures and heightened job market demands, college students increasingly experience mental health challenges.
Amid rising academic pressures and heightened job market demands, college students increasingly experience mental health challenges.
Aims This study explores how physical exercise affects ego depletion among college students, using the self-control resource model to understand the underlying processes.
This study explores how physical exercise affects ego depletion among college students, using the self-control resource model to understand the underlying processes.
Methods The study included two parts. First, we surveyed 1032 college students (average age: 20.29 years; 592 males, 440 females) to examine the relationships among negative life events, self-control, physical exercise, and ego depletion. In the second part, 104 students (average age: 19.89 years; 54 males, 50 females) participated in a four-week exercise intervention. They completed three 18-minute high-intensity exercise sessions per week, totaling 12 sessions, to assess changes in self-control and ego depletion.
The study included two parts. First, we surveyed 1032 college students (average age: 20.29 years; 592 males, 440 females) to examine the relationships among negative life events, self-control, physical exercise, and ego depletion. In the second part, 104 students (average age: 19.89 years; 54 males, 50 females) participated in a four-week exercise intervention. They completed three 18-minute high-intensity exercise sessions per week, totaling 12 sessions, to assess changes in self-control and ego depletion.
Results The survey results showed that negative life events were linked to increased ego depletion and lower self-control. Self-control partially explained how negative life events affected ego depletion. Additionally, regular physical exercise reduced the negative impact of stressful life events on self-control, especially at higher levels. The exercise intervention significantly improved students' self-control and reduced ego depletion.
The survey results showed that negative life events were linked to increased ego depletion and lower self-control. Self-control partially explained how negative life events affected ego depletion. Additionally, regular physical exercise reduced the negative impact of stressful life events on self-control, especially at higher levels. The exercise intervention significantly improved students' self-control and reduced ego depletion.
Conclusions Physical exercise serves as a protective factor that helps students maintain self-control and resist ego depletion under stress. By integrating large-scale survey data with an experimental intervention, this study uniquely provides both correlational evidence and preliminary causal insight into the role of exercise in mitigating ego depletion among college students.
Physical exercise serves as a protective factor that helps students maintain self-control and resist ego depletion under stress. By integrating large-scale survey data with an experimental intervention, this study uniquely provides both correlational evidence and preliminary causal insight into the role of exercise in mitigating ego depletion among college students.
作者机构：
College of Mathematics and Statistics, Hengyang Normal University, Hengyang, 421008, Hunan, China;[Bo Zheng; Jianshe Yu] School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, Guangdong, China;[Jia Li] Department of Mathematical Sciences, The University of Alabama in Huntsville, Huntsville, AL, 35899, USA;[Zhigang Liu] College of Mathematics and Statistics, Hengyang Normal University, Hengyang, 421008, Hunan, China<&wdkj&>School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, Guangdong, China
通讯机构：
[Jianshe Yu] S;School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, Guangdong, China
摘要：
Due to the presence of residual effects of pesticides, repeated spraying of pesticides has a cumulative lethal effect on pests which has not been clearly expounded in the existing literature. In this paper, we start by depicting the cumulative lethal rate of pests caused by repeated pesticide spraying. Although the cumulative lethal rate function is complex, our analysis gives an integral invariant of the cumulative killing-rate function, which plays a crucial role in the dynamical analysis of the Logistic single-population growth model that we preferred as a direct application, and helps us obtain a complete dynamical conclusion including the existence, uniqueness and stability of periodic solutions. We derive a threshold of pesticide spraying period for the eventual extinction of the pest population. By combining our theoretical findings and numerical simulations, in accordance with the frequency and cumulative killing-rate function of pesticide spraying, pesticide spraying strategies can be determined to achieve effective pest control within a predetermined time.
Due to the presence of residual effects of pesticides, repeated spraying of pesticides has a cumulative lethal effect on pests which has not been clearly expounded in the existing literature. In this paper, we start by depicting the cumulative lethal rate of pests caused by repeated pesticide spraying. Although the cumulative lethal rate function is complex, our analysis gives an integral invariant of the cumulative killing-rate function, which plays a crucial role in the dynamical analysis of the Logistic single-population growth model that we preferred as a direct application, and helps us obtain a complete dynamical conclusion including the existence, uniqueness and stability of periodic solutions. We derive a threshold of pesticide spraying period for the eventual extinction of the pest population. By combining our theoretical findings and numerical simulations, in accordance with the frequency and cumulative killing-rate function of pesticide spraying, pesticide spraying strategies can be determined to achieve effective pest control within a predetermined time.
期刊：
Journal of Mathematical Analysis and Applications,2025年:130098 ISSN：0022-247X
通讯作者：
Zong-Sheng Liu
作者机构：
[Zong-Sheng Liu] College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China;[Hong-Guang Li] School of Mathematics and Computational Sciences, Huaihua University, Huaihua, Hunan 418000, China;[Fan Zhang] Hengyang Tianjiabing Experimental Middle School, Hengyang, Hunan 421002, China;[Kai-Li Zhang] Chiba Town Lanpu Junior High School, Jingzhou, Hubei 433300, China
通讯机构：
[Zong-Sheng Liu] C;College of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China
摘要：
In this paper, we study the quasi-Beurling dimensions of the spectra for a class of planar Moran measures μ { M k } , D and obtain the exact upper and lower bounds of the quasi-Beurling dimensions under some conditions. Moreover, we prove an intermediate value property, i.e., for any t ∈ [ 0 , dim ‾ e μ { M k } , D ] , there exists a spectrum Λ t of μ such that dim q B Λ t = t , where dim ‾ e μ { M k } , D denotes the upper entropy dimension of μ { M k } , D and dim q B Λ t denotes the quasi-Beurling dimension of Λ t .
In this paper, we study the quasi-Beurling dimensions of the spectra for a class of planar Moran measures μ { M k } , D and obtain the exact upper and lower bounds of the quasi-Beurling dimensions under some conditions. Moreover, we prove an intermediate value property, i.e., for any t ∈ [ 0 , dim ‾ e μ { M k } , D ] , there exists a spectrum Λ t of μ such that dim q B Λ t = t , where dim ‾ e μ { M k } , D denotes the upper entropy dimension of μ { M k } , D and dim q B Λ t denotes the quasi-Beurling dimension of Λ t .
摘要：
With the rapid advancement of digital technology and the pervasive use of media information, ensuring image security and efficient transmission has become increasingly critical. Therefore, this paper proposes a novel 4D hyperchaotic system incorporating a compression encryption algorithm that integrates generalized Fibonacci matrices and heterogeneous scrambling. Firstly, the proposed scheme constructs a novel hyperchaotic system, and its dynamic characteristics are analyzed to validate its rich dynamical behavior, exhibiting high randomness and sensitivity to initial conditions. Secondly, during the compression phase, chaotic sequences regulate image compression, aiming to minimize the number of parameters involved in the encryption process. Thirdly, in the multi-channel heterogeneous scrambling method, the RGB channels are individually subjected to 2D non-equal-length Arnold scrambling, pseudo-random permutation, and higher-order Peano curve fractal scrambling at the pixel level. Furthermore, the scrambling parameters for each channel are dynamically governed by independent chaotic sequences. Finally, this paper proposes a cross-channel nonlinear diffusion algorithm leveraging a 3D dynamic Fibonacci matrix. Through the construction of a spatially coupled encryption scheme, the proposed method ensures triple-layer protection at the pixel, channel, and spatial levels. Experimental results and performance analysis indicate that, at a compression ratio of 0.5, the PSNR exceeds 30 dB, while the SSIM remains above 0.90, reflecting high image reconstruction quality. In addition, the NPCR and the UACI reach approximately 99.60% and 33.46%, respectively. These results confirm that the proposed compression-encryption scheme is highly secure and demonstrates strong resilience against both differential and brute-force attacks.
期刊：
Bulletin of the Malaysian Mathematical Sciences Society,2025年48(4):1-12 ISSN：0126-6705
通讯作者：
Ponnusamy, S
作者机构：
[Li, Liulan] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Hunan, Peoples R China.;[Ponnusamy, Saminthan] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamilnadu, India.
通讯机构：
[Ponnusamy, S ] I;Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamilnadu, India.
关键词：
Univalent;Starlike;Convex and close-to-convex functions;Harmonic functions;Blaschke products;John disk;Schwarzian and pre-Schwarzian derivatives;Quasiconformal mappings
摘要：
Consider the family of locally univalent analytic functions h in the unit disk
$$|z|<1$$
with the normalization
$$h(0)=0$$
,
$$h'(0)=1$$
and satisfying the condition
$${{\operatorname {Re}\,}} \left( \frac{z h''(z)}{\alpha h'(z)}\right) <\frac{1}{2} ~ \text{ for } z\in {\mathbb D}\text{, } $$
where
$$0<\alpha \le 1$$
. The aim of this article is to show that this family has several elegant properties such as involving Blaschke products, Schwarzian derivative and univalent harmonic mappings.
期刊：
Journal of Computational and Applied Mathematics,2025年:117133 ISSN：0377-0427
通讯作者：
Lijun Hu
作者机构：
[Lijun Hu; Lielong Li; Kexin Zhu] School of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China;[Haizhuan Yuan] School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, China
通讯机构：
[Lijun Hu] S;School of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China
摘要：
The HLLEM scheme is a popular numerical method for computing the convective fluxes in the Euler equations and the Navier–Stokes equations due to its accuracy and positivity-preserving. However, it still has two defects. One is the numerical instability, such as the carbuncle phenomenon, in computations involving multidimensional strong shock waves; the other is the non-physical results caused by accuracy issues in computations of low Mach number flows. In the engineering field, high Mach number flows with strong shock waves and low Mach number flows often coexist. Therefore, it is necessary to develop a numerical scheme that is both accurate and robust across all Mach number flows. The shock instabilities of the HLLEM scheme are addressed by simply modifying the wave speeds to balance advection dissipation and acoustic dissipation. Additionally, the performance in computing low-speed flows is improved by controlling the excessive numerical dissipation corresponding to the velocity-difference terms in the momentum equations. Numerical results from high Mach number test cases and low Mach number test cases demonstrate the accuracy and robustness of the proposed scheme for simulating flows across all Mach number.
The HLLEM scheme is a popular numerical method for computing the convective fluxes in the Euler equations and the Navier–Stokes equations due to its accuracy and positivity-preserving. However, it still has two defects. One is the numerical instability, such as the carbuncle phenomenon, in computations involving multidimensional strong shock waves; the other is the non-physical results caused by accuracy issues in computations of low Mach number flows. In the engineering field, high Mach number flows with strong shock waves and low Mach number flows often coexist. Therefore, it is necessary to develop a numerical scheme that is both accurate and robust across all Mach number flows. The shock instabilities of the HLLEM scheme are addressed by simply modifying the wave speeds to balance advection dissipation and acoustic dissipation. Additionally, the performance in computing low-speed flows is improved by controlling the excessive numerical dissipation corresponding to the velocity-difference terms in the momentum equations. Numerical results from high Mach number test cases and low Mach number test cases demonstrate the accuracy and robustness of the proposed scheme for simulating flows across all Mach number.
期刊：
Bulletin of the Malaysian Mathematical Sciences Society,2025年48(6):1-13 ISSN：0126-6705
通讯作者：
Chen, SL
作者机构：
[Chen, Shaolin] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.;[Hamada, Hidetaka] Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai 2-Chome, Fukuoka 8138503, Japan.
通讯机构：
[Chen, SL ] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.
关键词：
Biharmonic equation;Hardy-Littlewood type theorem;Poisson kernel
摘要：
The main purpose of this paper is to establish several Hardy-Littlewood type theorems for solutions to inhomogeneous biharmonic equations. Our results not only improve but also extend the corresponding known theorems in the literature.
期刊：
Complex Variables and Elliptic Equations,2025年70(3):456-470 ISSN：1747-6933
通讯作者：
Li, LL
作者机构：
[Li, Liulan; Li, LL] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.;[Qian, Tao] Macau Univ Sci & Technol, Macao Ctr Math Sci, Macau, Peoples R China.;[Wang, Shilin] Unitedhlth Grp, Med Informat Dept, Cypress, CA USA.
通讯机构：
[Li, LL ] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.
摘要：
In this paper, we introduce a new member to the universal families, called universal quotient Blaschke product, which is a formal quotient of two formal infinite Blaschke products. A formal infinite Blaschke product is of the form B(z)=Pi(infinity)(k=1) z-z(k)/1-(z) over bar (k)z' where {zk}(k=1)(infinity) is a sequence of points in the unit disk but may not satisfy the Blaschke condition: Sigma(infinity)(k=1)(1 - vertical bar z(k vertical bar)) < infinity. A partial quotient of a universal quotient Blaschke product is the quotient of two finite Blaschke products. We show that the set of partial quotients of a universal quotient Blaschke product is dense in the set of continuous self-mappings on the unit circle in the complex plane. Meanwhile, subsequences of the partial quotients of a universal quotient Blaschke product can be used to approximate any holomorphic functions bounded by one on the unit disk. Moreover, we prove that the set of universal quotient Blaschke products is huge in the sense of Baire category.
摘要：
In this paper, we consider the spectral property of symmetric additive measure of Lebesgue type supported on two intervals in the plane. We give a sufficient condition for the spectral property of symmetric additive measure of Lebesgue type supported on two unparallel intervals. Further, we characterise the spectral property of symmetric additive measure of Lebesgue type supported on two parallel intervals.
摘要：
The primary goal of this paper is to develop methods for investigating equivalent norms and Hardy-Littlewood-type theorems on Lipschitz-type spaces of analytic and complex-valued harmonic functions. First, we provide characterizations of equivalent norms on these spaces. Furthermore, we establish Hardy-Littlewood-type theorems for complex-valued harmonic functions. These results improve and extend the main findings of Dyakonov (1997) and Dyakonov (2005). Additionally, we apply the derived equivalent norms and Hardy-Littlewood-type theorems to the study of composition operators between Lipschitz-type spaces.
关键词：
Epidemic model;Global stability;Mathematical modeling;Lyapunov function
摘要：
Asymptomatic infection is an important feature that distinguishes COVID-19 from known SARS viral diseases. In this paper, we propose a new mathematical model for virus transmission with asymptomatic infected persons, which can be used for COVID-19. We study the model by defining the basic reproduction number (R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$R_{0}$\end{document}), showing the nonnegativity and boundedness of the solution, and constructing proper Lyapunov function, the global stability of the disease-free equilibrium and the endemic equilibrium are obtained. Numerical simulation of the model shows that the threshold of the basic reproduction number can determine the global asymptotic stability of the equilibria. Moreover, by simulating and analyzing the model, we obtain that the number of people diagnosed for COVID-19 will increase, and the number of hospital beds should be increased to meet the large number of patients with the implementation of the screening strategy. Therefore, to control the spread of the epidemic, increase in the detection of asymptomatic infected persons is very important.
摘要：
The number of zeros of a one-parameter family of rational harmonic trinomials is studied. It is considered to be as an analogue work on that of corresponding harmonic trinomials investigated recently by Brilleslyper et al. and Brooks et al. Note that their proofs rely on the Argument Principle for Harmonic Functions and involve finding the winding numbers about the origin of a hypocycloid. Our proof is similar by means of Poincaré index and the geometry of epicycloid.
The number of zeros of a one-parameter family of rational harmonic trinomials is studied. It is considered to be as an analogue work on that of corresponding harmonic trinomials investigated recently by Brilleslyper et al. and Brooks et al. Note that their proofs rely on the Argument Principle for Harmonic Functions and involve finding the winding numbers about the origin of a hypocycloid. Our proof is similar by means of Poincaré index and the geometry of epicycloid.
摘要：
In this paper, we propose a color image compression and encryption algorithm that combines compressed sensing, Sudoku matrix, and hyperchaotic map to ensure the security of image data and improve transmission and storage efficiency. Firstly, we design a novel two-dimensional sine-logistic coupled hyperchaotic map that exhibits a more continuous and broader chaotic range and more complex hyperchaotic behavior compared to some existing known chaotic maps. Secondly, to mitigate the impact of compression thresholds on image reconstruction quality, we employ multiple optimization strategies to improve the dung beetle optimization algorithm, enhancing its global exploration and local exploitation capabilities, thereby making it more efficient and accurate in handling complex optimization problems. Based on this, we optimize the compression threshold using the improved algorithm to find the optimal threshold for the best image reconstruction quality. Finally, to further enhance the security of the algorithm, we introduce Sudoku matrices in the permutation stage. By using randomly generated Sudoku matrices to permute the image pixel positions, the original image structure is effectively disrupted, increasing the complexity and randomness of the encryption. In the diffusion stage, we employ a bidirectional diffusion operation to ensure that pixel information is effectively spread throughout the image, and we dynamically update the diffusion keys in each round, making the key sequence highly random and unpredictable. Experimental results demonstrate that the proposed algorithm can resist various illegal attacks and offers high security.
期刊：
Education and Information Technologies,2025年30(13):18213-18239 ISSN：1360-2357
通讯作者：
Chang, HB
作者机构：
[Ning, Yimin] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China.;[Zheng, Hanyi] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421010, Peoples R China.;[Wu, Hongde] Zhejiang Normal Univ, Coll Educ, Jinhua 321004, Peoples R China.;[Jin, Zhijie] East China Normal Univ, Fac Educ, Shanghai 200062, Peoples R China.;[Chang, Haibin; Chang, HB] Capital Normal Univ, Fac Educ, Beijing 100048, Peoples R China.
通讯机构：
[Chang, HB ] C;Capital Normal Univ, Fac Educ, Beijing 100048, Peoples R China.
摘要：
This study, grounded in the stimulus-organism-response (SOR) theory, aims to explore how stimulus factors (school support) influence cognitive organisms (psychological resilience, self-efficacy, attitude toward AI, and acceptance of AI), which in turn enhance behavioral responses (AI literacy), while also examining the detrimental effects of AI anxiety. A cross-sectional design was employed, utilizing sample data from 1,518 teachers. The results of PLS-SEM indicate that school support exerts a significant positive impact on psychological resilience, self-efficacy, attitude toward AI, and acceptance of AI. These cognitive factors, in turn, significantly enhance AI literacy. However, while AI anxiety negatively affects these cognitive factors, it does not exhibit a significant direct impact on AI literacy. Additionally, the study reveals the mediating roles of psychological resilience, self-efficacy, attitude toward AI, and acceptance of AI in the relationship between school support and AI literacy. The findings of fsQCA identify five high-level configurational pathways and one non-high-level pathway, demonstrating an asymmetric relationship between these configurations. The consistency values of all six pathways exceed 0.9, indicating that these configurations are sufficient conditions influencing teachers' AI literacy. This study provides a theoretical framework for analyzing factors affecting teachers' AI literacy and offers practical guidance for policy interventions and innovative practices to enhance teachers' AI literacy.
关键词：
Functional graph;Inversive congruential method;Sequence analysis;Pseudorandom number
摘要：
Several pseudorandom number generators based on the inversive congruential method have been designed as appealing alternatives to those based on the classical linear congruential method. This paper unveils the first functional graph structure of an inversive pseudorandom number generator over ring
$${\mathbb {Z}}_{p^{e}}$$
, resolving two foundational gaps: By transforming the generator into a second order linear congruential recurrence relation, we derives a complete and explicit expression of the least period of sequences generated from all initial states in the domain; The graph structure is rigorously analyzed and shown to consist of two distinct components, namely, multiple cycles of varying lengths and a single unilateral connected digraph whose structure is consistent relative to parameter e. Moreover, the graph structure analysis method offers a fresh perspective for analyzing the randomness and periodicity of random number generators. The adopted analysis methodology can be extended to study the graph structure and dynamics of other nonlinear maps.
摘要：
Abstract In this paper, we propose an advanced image encryption algorithm that integrates a novel 4D hyperchaotic system and an improved Knight’s Tour algorithm for enhanced security. The 4D hyperchaotic system, characterized by its complex dynamics and multiple positive Lyapunov exponents, generates pseudo-random sequences with high sensitivity to initial conditions. These sequences are utilized in both pixel-level scrambling and bit-level diffusion processes, ensuring robust encryption. The Knight’s Tour, a classical pathfinding algorithm, is enhanced through chaotic sequence-based randomization, improving path randomness and addressing traditional limitations like deadlock issues. Additionally, a nonlinear diffusion process, inspired by the Josephus ring algorithm, further strengthens the encryption scheme by introducing dynamic scrambling of pixel values. Security analysis and experimental results demonstrate that the proposed algorithm offers a large key space, excellent resistance to cryptanalysis, and robustness against various attacks such as noise and cropping. Especially in image encryption, resistance to differential attacks is a crucial performance metric, typically evaluated using NPCR and UACI. The expected values are NPCRE = 99.6094% and UACIE = 33.4635%. The NPCR and UACI values obtained from the experimental images encrypted by the proposed algorithm are close to these expected values. This work highlights the potential of integrating hyperchaotic systems in image encryption for applications requiring high levels of security, such as military communications, cloud storage, and digital healthcare systems.
期刊：
Frontiers in Public Health,2024年12:1288262 ISSN：2296-2565
通讯作者：
Yin, L
作者机构：
[Li, Fang; Luo, Wanhong] Hunan First Normal Univ, Sch Phys Educ, Changsha, Peoples R China.;[Yin, Long; Yin, L] Hunan Normal Univ, Coll Phys Educ, Changsha, Peoples R China.;[Gao, Zan] Univ Tennessee, Dept Kinesiol Recreat & Sport Studies, Knoxville, TN USA.;[Ryu, Suryeon] Univ Minnesota Twin Cities, Sch Kinesiol, Minneapolis, MN USA.;[Sun, Mingyun] Hengyang Normal Univ, Sch Math & Stat, Hengyang, Peoples R China.
通讯机构：
[Yin, L ] H;Hunan Normal Univ, Coll Phys Educ, Changsha, Peoples R China.
关键词：
24-h movement behavior;isotemporal substitution;mental health;non-screen-based sedentary behavior;screen-based sedentary behavior
摘要：
The 24-h movement behavior of preschoolers comprises a spectrum of activities, including moderate-to-vigorous intensity physical activity (MVPA), light-intensity physical activity (LPA), screen-based sedentary behavior (SCSB), non-screen-based sedentary behavior (NSCSB), and sleep. While previous research has shed light on the link between movement behaviors and children’s mental health, the specific impacts on the unique demographic of Chinese preschoolers remain underexplored. This study significantly contributes to the literature by exploring how 24-h movement behavior affects the mental health of preschoolers in a Chinese context. The study involved205 Chinese preschool children (117 boys and 88 girls) between the ages of 3 and 6 years wore accelerometers to measure their LPA, MVPA, and sedentary behavior (SB), while their parents reported the time spent on sleep and SCSB. The parents also completed the Strength and Difficulties Questionnaire to assess their children’s mental health. The study used compositional regression and isotemporal substitution models to examine the relationship between the various components of 24-h movement behavior and mental health. The results showed that greater NCSSB compared to MVPA, LPA, sleep, and SCSB was associated with good prosocial behavior and lower scores on externalizing problems. This highlights the potential of NSCSB as a beneficial component in the daily routine of preschoolers for fostering mental well-being. Replacing 15 min of sleep and SCSB with 15 min of NSCSB was associated with a decrease of 0.24 and 0.15 units, respectively, in externalizing problems. Reallocating 15 min of sleep to NSCSB was linked to an increase of 0.11 units in prosocial behavior. There were no significant substitution effects between LPA and MVPA time with any other movement behavior on prosocial behavior and externalizing problems. Given the positive associations observed, further longitudinal studies are necessary to explore the link between 24-h movement behavior and mental health in preschool children.
期刊：
MATHEMATICAL BIOSCIENCES AND ENGINEERING,2024年21(2):2344-2365 ISSN：1547-1063
作者机构：
[Haihua Zhou] School of Mathematics and Statistics, Hengyang Normal University, Hengyang 421010, China;[Yaxin Liu; Zejia Wang; Huijuan Song] School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, China
期刊：
Rendiconti del Circolo Matematico di Palermo,2024年73(7):2587-2598 ISSN：0009-725X
通讯作者：
Shaolin Chen
作者机构：
[Shaolin Chen] College of Mathematics and Statistics, Hengyang Normal University, Hengyang, People’s Republic of China;[Hidetaka Hamada] Faculty of Science and Engineering, Kyushu Sangyo University, Fukuoka, Japan
通讯机构：
[Shaolin Chen] C;College of Mathematics and Statistics, Hengyang Normal University, Hengyang, People’s Republic of China
关键词：
Harmonic function;Linear measure;Non-iterative dynamic system
摘要：
The main purpose of this paper is to determine the linear measure of non-iterative dynamic system of some classes of harmonic functions.
