Dynamics analysis of modified Leslie-Gower prey-predator system with Holling type II functional response

被引：0

作者：

Surendar, M. S. ^{[1
]}

Sambath, M. ^{[2
]}

机构：

[1] SIMATS, Saveetha Sch Engn, Div Math, Chennai 602105, India

[2] Periyar Univ, Dept Math, Salem 636011, India

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2022年 / 12卷 / 05期

关键词：

prey-predator system; stability; Hopf bifurcation; periodic solutions; Turing instability; diffusion; HOPF-BIFURCATION-ANALYSIS; GLOBAL STABILITY; HERD BEHAVIOR; MODEL;

D O I：

10.1504/IJDSDE.2022.127815

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a modified Leslie-Gower prey-predator system with Holling type II functional response. For the non-spatial system, we studied the stability of coexisting homogeneous steady-states. Further, we examined the occurrence of Hopf bifurcation at non-trivial equilibrium and the stability of bifurcate periodic solutions. In addition, we analysed the existence of diffusion-driven instability of an equilibrium solution. Moreover, we derived some conditions regarding parameters to establish the existence of Turing instability. Also, numerical simulations are carried out to verify our analytical results.

引用

页码：449 / 466

页数：19

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