An Impulsive Predator-Prey System with Modified Leslie-Gower Functional Response and Diffusion

被引：6

作者：

Li, Xiaoyue ^{[1
]}

Wang, Qi ^{[1
]}

Han, Renji ^{[2
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China

[2] Univ Sci & Technol, Sch Sci, Hangzhou 310023, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2021年 / 20卷 / 03期

关键词：

Impulsive predator-prey model; Diffusion; Modified Leslie-Gower functional response; Permanence; Periodic solution; Globally stable; GLOBAL STABILITY; MODEL; DYNAMICS; PERSISTENCE; BIFURCATION; EXISTENCE;

D O I：

10.1007/s12346-021-00517-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an impulsive diffusive predator-prey system with modified Leslie-Gower functional response and Beddington-DeAngelis functional response is investigated. Some conditions for the permanence and the existence of a unique globally stable periodic solution of the predator-prey system are obtained by using the comparison theorem and Lyapunov functions. Some numerical simulations are listed to show the main results.

引用

页数：20

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