期刊：
Journal of Applied Mathematics,2014年2014(Pt.3):1-21 ISSN：1110-757X
通讯作者：
Luo, Zhenguo
作者机构：
[Luo, Liping; Gao, Zhenghui; Zeng, Yunhui; Yang, Liu; Luo, Zhenguo] Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.;[Luo, Zhenguo] Natl Univ Def Technol, China Dept Math, Changsha 410073, Hunan, Peoples R China.
通讯机构：
[Luo, Zhenguo] H;Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
关键词：
An impulsive Lotka-Volterra type predator-prey model with prey dispersal in two-patch environments and time delays is investigated;where we assume the model of patches with a barrier only as far as the prey population is concerned;whereas the predator population has no barriers between patches. By applying the continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional;a set of easily verifiable sufficient conditions are obtained to guarantee the existence;uniqueness;and global stability of positive periodic solutions of the system. Some known results subject to the underlying systems without impulses are improved and generalized. As an application;we also give two examples to illustrate the feasibility of our main results. Published: 2014 First available in Project Euclid: 2 March 2015 zbMATH: 07010692 MathSciNet: MR3191132 Digital Object Identifier: 10.1155/2014/592543
摘要：
An impulsive Lotka-Volterra type predator-prey model with prey dispersal in two-patch environments and time delays is investigated, where we assume the model of patches with a barrier only as far as the prey population is concerned, whereas the predator population has no barriers between patches. By applying the continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are obtained to guarantee the existence, uniqueness, and global stability of positive periodic solutions of the system. Some known results subject to the underlying systems without impulses are improved and generalized. As an application, we also give two examples to illustrate the feasibility of our main results.
摘要：
In this article, we establish sufficient conditions for the existence, uniqueness and stability of solutions for nonlinear fractional differential equations with delays and integral boundary conditions. MSC: 34A08, 34A30, 34D20.
作者机构：
Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China
关键词：
Caputo;FRACTIONAL;Derivative;IMPULSES;NONLOCAL;Conditions;EXISTENCE;UNIQUENESS;Fixed;Point;Impulses;Nonlocal Conditions;Existence;Uniqueness;Fixed Point
摘要：
In this article, by using Schaefer fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for a class of impulsive integro-differential equations with nonlocal conditions involving the Caputo fractional derivative.
