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

被引：5
|
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.
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收藏
页数：20
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