期刊论文

Jianshe Yu

英文

Mathematical Biosciences

0025-5564

2025

390

109562

10.1016/j.mbs.2025.109562

CRediT authorship contribution statement Zhigang Liu: Writing – review & editing, Writing – original draft, Visualization, Validation, Software, Resources, Methodology, Investigation, Formal analysis, Data curation, Conceptualization. Bo Zheng: Writing – review & editing. Jia Li: Writing – review & editing. Jianshe Yu: Writing – review & editing, Validation, Supervision, Project administration, Investigation, acquisition, Conceptualization.

本校为第一机构

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 o...