Global Stability of Solutions in a Reaction-Diffusion System of Predator-Prey Model

被引:4
|
作者
Luo, Demou [1 ]
Liu, Hailin [1 ]
机构
[1] Guangdong Univ Technol, Sch Appl Math, Yinglong Rd 161, Guangzhou 510520, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
predator-prey model; global stability; reaction-diffusion equations; positive equilibrium; ASYMPTOTIC STABILITY;
D O I
10.2298/FIL1813665L
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we investigate the global asymptotic stability of a reaction-diffusion system of predator-prey model. By applying the comparison principle and iteration method, we prove the global asymptotic stability of the unique positive equilibrium solution of (1.1).
引用
收藏
页码:4665 / 4672
页数:8
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