GLOBAL STABILITY OF SPATIALLY NONHOMOGENEOUS STEADY STATE SOLUTION IN A DIFFUSIVE HOLLING-TANNER PREDATOR-PREY MODEL

被引：13

作者：

Ni, Wenjie ^{[1
]}

Shi, Junping ^{[2
]}

Wang, Mingxin ^{[3
]}

机构：

[1] Univ New England, Sch Sci & Technol, Armidale, NSW 2351, Australia

[2] William & Mary, Dept Math, Williamsburg, VA 23187 USA

[3] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 09期

关键词：

Diffusive predator-prey model; heterogeneous environment; global stability; Lyapunov function; HOPF-BIFURCATION; SYSTEMS; PERMANENCE; DYNAMICS;

D O I：

10.1090/proc/15370

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newly constructed Lyapunov function and estimates of nonconstant steady state solutions. The techniques developed here can be adapted for other spatially heterogeneous consumer-resource models.

引用

页码：3781 / 3794

页数：14

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