Dynamics of a diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes

被引：12
|
作者：
Yang, Wensheng [1 ]
Li, Yongqing [1 ]
机构：
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 65卷 / 11期
关键词：
Diffusive system; Modified Leslie-Gower; Positive steady states; Permanence; GLOBAL STABILITY; QUALITATIVE-ANALYSIS; SYSTEM;
D O I：
10.1016/j.camwa.2013.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The diffusive predator-prey system with modified Leslie-Gower and Holling-type III schemes is considered here. Firstly, stability analysis of the equilibrium for a reduced ODE system is discussed. Secondly, we obtain that the system is permanent. Thirdly, sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the system are derived by using the method of Lyapunov function. Finally, we establish the existence and nonexistence of nonconstant positive steady states of this reaction-diffusion system, which indicates the effect of large diffusivity. (c) 2013 Elsevier Ltd. All rights reserved.
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页码：1727 / 1737
页数：11
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