Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes

被引：4

作者：

Tian, Yanling ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China

来源：

APPLICATIONS OF MATHEMATICS | 2014年 / 59卷 / 02期

关键词：

QUALITATIVE-ANALYSIS; GLOBAL STABILITY; TIME DELAYS; SYSTEMS; DYNAMICS;

D O I：

10.1007/s10492-014-0051-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes is considered. Local stability for each constant steady state is studied by analyzing the eigenvalues. Some simple and easily verifiable sufficient conditions for global stability are obtained by virtue of the stability of the related FDE and some monotonous iterative sequences. Numerical simulations and reasonable biological explanations are carried out to illustrate the main results and the justification of the model.

引用

页码：217 / 240

页数：24

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