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.
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页数：12
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