Dynamical Complexity and Numerical Bifurcation Analysis of a Reaction-Diffusion Predator-Prey System

被引：0
|
作者：
Lajmiri, Z. [1 ]
Orak, I [1 ]
Khoshsiar, R. [2 ]
Azizi, P. [3 ]
机构：
[1] Islamic Azad Univ, Izeh Branch, Sama Tech & Vocatinal Training Coll, Izeh, Iran
[2] Shahrekord Univ, Dept Appl Math & Comp Sci, POB 115, Shahrekord, Iran
[3] Shahrekord Univ, Appl Math, POB 115, Shahrekord, Iran
来源：
JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2020年 / 9卷 / 02期
关键词：
Andronov-Hopf bifurcation; Bogdanov-Takens bifurcation; Dynamical behavior; Limit cycle;
D O I：
10.5890/JAND.2020.06.012
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider a diffusive predator-prey system with modified Holling-Tanner functional response under homogeneous Neumann boundary condition. Dynamics of the system is very sensitive to the variation of the initial conditions. We determine stability and dynamical behaviors of the equilibrium of this system. The dynamical behaviors consist of Andronov-Hopf bifurcation, limit cycles and Bogdanov-Takens bifurcations. Numerical simulation results are given to support our theoretical results. (C) 2020 L&H Scientific Publishing, LLC. All rights reserved.
引用
收藏
页码：323 / 337
页数：15
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