DYNAMICS OF A DIFFUSIVE LESLIE-GOWER PREDATOR-PREY MODEL IN SPATIALLY HETEROGENEOUS ENVIRONMENT

被引：20
|
作者：
Zou, Rong [1 ]
Guo, Shangjiang [2 ]
机构：
[1] Guangxi Univ Finance & Econ, Sch Informat & Stat, Nanning 530003, Peoples R China
[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 11期
关键词：
predator-prey system; diffusion; spatial heterogeneity; Stability; bifurcation; Asymptotic profile; SPATIOTEMPORAL PATTERNS; SYSTEM; BIFURCATION; STABILITY;
D O I：
10.3934/dcdsb.2020093
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with a diffusive Leslie-Gower predator-prey model in heterogeneous environment. The global existence and boundedness of solutions are shown. By analyzing the sign of the principal eigenvalue corresponding to each semi-trivial solution, we obtain the linear stability and global stability of semi-trivial solutions. The existence of positive steady state solution bifurcating from semi-trivial solutions is obtained by using local bifurcation theory. The stability analysis of the positive steady state solution is investigated in detail. In addition, we explore the asymptotic profiles of the steady state solution for small and large diffusion rates.
引用
收藏
页码：4189 / 4210
页数：22
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