Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse

Advances in Difference Equations

Jianjun Jiao³  Limei Li³  Shaohong Cai⁴  Lansun Chen⁴ 

[1] Institute of Mathematics, Academy of Mathematics and System Sciences, Beijing, People’School of Continuous Education, Guizhou University of Finance and Economics, Guiyang, People’School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, People’s Republic of China

关键词: hibernation;    periodic switched systems;    birth pulse;    prey-extinction;    permanence;   

DOI  :  10.1186/s13662-015-0460-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By hibernating, animals can reduce their energy requirements by at least ninety percent and survive for many months while slowly catabolizing body lipid reserves. Hibernation constitutes an effective strategy of animals in order to survive cold environments and limited availability of food. In this work, we investigate a periodic impulsive switched predator-prey system with hibernation and birth pulse. We firstly obtain the conditions of the globally asymptotically stable prey-extinction boundary periodic solution of the investigated system. Secondly, we obtain the permanent conditions of the investigated system. Finally, numerical analysis is presented to illustrate the results. Our results provide reliable tactic basis for the practical biological economics management.

【 授权许可】

CC BY