Dynamics of a modified Leslie-Gower predator-prey model with Holling-type II schemes and a prey refuge

被引：46

作者：

Yue, Qin ^{[1
]}

机构：

[1] West Anhui Univ, Coll Finance & Math, Liuan 237000, Anhui, Peoples R China

来源：

SPRINGERPLUS | 2016年 / 5卷

关键词：

Leslie-Gower; Equilibrium; Global attractivity; Iterative; Refuge; GLOBAL STABILITY; QUALITATIVE-ANALYSIS; SYSTEM;

D O I：

10.1186/s40064-016-2087-7

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We propose a modified Leslie-Gower predator-prey model with Holling-type II schemes and a prey refuge. The structure of equilibria and their linearized stability is investigated. By using the iterative technique and further precise analysis, sufficient conditions on the global attractivity of a positive equilibrium are obtained. Our results not only supplement but also improve some existing ones. Numerical simulations show the feasibility of our results.

引用

页数：12

共 36 条

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