Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes

被引：4
|
作者：
Zhao, Jianglin [1 ]
Zhao, Min [2 ]
Yu, Hengguo [1 ]
机构：
[1] Wenzhou Univ, Sch Math & Informat Sci, Wenzhou 325035, Peoples R China
[2] Wenzhou Univ, Sch Life & Environm Sci, Wenzhou 325035, Peoples R China
来源：
ENTROPY | 2013年 / 15卷 / 06期
基金：
中国国家自然科学基金;
关键词：
diffusive predator-prey system; Leslie-Gower; Holling type III schemes; refuge; stability; pattern formation; STABILITY ANALYSIS; LIMIT-CYCLES; MODEL; CONSEQUENCES; BIFURCATION;
D O I：
10.3390/e15062431
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the spatiotemporal dynamics of a diffusive Leslie-Gower predator-prey model with prey refuge are investigated analytically and numerically. Mathematical theoretical works have considered the existence of global solutions, population permanence and the stability of equilibrium points, which depict the threshold expressions of some critical parameters. Numerical simulations are performed to explore the pattern formation of species. These results show that the prey refuge has a profound effect on predator-prey interactions and they have the potential to be useful for the study of the entropy theory of bioinformatics.
引用
收藏
页码：2431 / 2447
页数：17
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