A Predator-Prey system with anorexia response

被引：18
|
作者：
Huang, Zhenkun [1 ]
Wang, Xinghua
Xia, Yonghui
机构：
[1] Zhejiang Univ, Sch Sci, Dept Math, Hangzhou 310027, Peoples R China
[2] Jimei Univ, Sch Sci, Fujian 361021, Peoples R China
[3] Fudan Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Predator-Prey system; anorexia response; almost periodic solution; persistence;
D O I：
10.1016/j.nonrwa.2005.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Predator-Prey system is proposed with an introduction of anorexia response on one prey population. By using the comparison theorem and constructing suitable Lyapunov function, we study such Predator-Prey system with almost periodic coefficients. Some sufficient conditions are obtained for the existence of a unique almost periodic solution. Numerical simulations of Predator-Prey system with anorexia response and the one without anorexia response are performed. Our observations suggest that anorexia response on one prey population has a destabilizing effect on the persistence of such Predator-Prey system. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：1 / 19
页数：19
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