The Effect of Delay on A Diffusive Predator-Prey System with Modified Leslie-Gower Functional Response

被引：12
|
作者：
Yang, Ruizhi [1 ]
Wei, Junjie [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2017年 / 40卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Leslie-Gower; Beddington-DeAngelis functional response; Delay; Hopf bifurcation; Predator-prey; GLOBAL STABILITY; II SCHEMES; TIME-DELAY; MODEL; PERSISTENCE;
D O I：
10.1007/s40840-015-0261-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a delayed diffusive modified Leslie-Gower-type predator-prey model with Beddington-DeAngelis functional response subject to Neumann boundary condition is considered. The stability/instability of the non-negative equilibria and a detailed Hopf bifurcation analysis are investigated. And explicit formulas for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived by the theory of normal form and center manifold. In addition, some numerical simulations are carried out.
引用
收藏
页码：51 / 73
页数：23
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