The dynamic behaviors of one-predator two-prey system with mutual interference and impulsive control

被引：5
作者：
Wang, Zhen [1 ]
Shao, Yuanfu [1 ]
Fang, Xianjia [1 ]
Ma, Xiangmin [1 ]
机构：
[1] Guilin Univ Technol, Sch Sci, Guilin 541004, Guangxi, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2017年 / 132卷
基金：
中国国家自然科学基金;
关键词：
Mutual interference; Impulsive control; Extinction; Permanence; FUNCTIONAL-RESPONSE; CONTROL STRATEGY; PREY MODEL;
D O I：
10.1016/j.matcom.2016.06.007
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Taking into account chemical control, biological control for pest management at different fixed moments, and mutual interference of the predator. A one-predator two-prey system with impulsive effects and mutual interference is established in this paper. By using techniques of impulsive perturbations, Floquet theory and comparison theorem, we investigate the existence and globally asymptotic stability of prey-eradication periodic solution. We also derive some sufficient conditions for the permanence of the system by using comparison methods involving multiple Lyapunov functions. Our results improve some obtained results. Then numerical simulations are given to show the complex behaviors of this system. Finally, we analyze the biological meanings of these results and give some suggestions for feasible control strategies. (C) 2016 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：68 / 85
页数：18
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