Dynamics of a periodic switched predator prey system with impulsive harvesting and hibernation of prey population

被引：27
作者：
Jiao, Jianjun [1 ]
Cai, Shaohong [1 ]
Li, Limei [2 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China
[2] Guizhou Univ Finance & Econ, Sch Continuous Educ, Guiyang 550004, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 15期
基金：
中国国家自然科学基金;
关键词：
CHEMICAL CONTROL CONCERN; MANAGEMENT SI MODEL; FUNCTIONAL-RESPONSE; DIFFUSION; STOCKING; CROSS;
D O I：
10.1016/j.jfranklin.2016.06.035
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Winter hibernation constitutes an effective strategy of animals in order to correspond survive cold environments and limited availability of food, it plays an important role in biological evolution. In this work, we firstly introduce hibernation behaviors of prey population into predator prey systems with impulsive effect, then construct a periodic switched predator prey system with winter hibernation in prey population and impulsive effect. We prove that the solutions of system (2.1) are uniformly ultimately bounded. We obtain the conditions of the globally asymptotically stable predator-extinction boundary periodic solution of system (2 I), and also obtain the permanent conditions of system (2 I). Finally, numerical analysis is employed to illustrate the results. Our results provide reliable tactic for the biological economics management and the protection of biodiversity. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3818 / 3834
页数：17
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