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

doi:10.1186/s13662-015-0460-4

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	Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse
	Jiao, Jianjun 1; Cai, Shaohong 1; Li, Limei 2; Chen, Lansun 3
	2015-06-10
发表期刊	ADVANCES IN DIFFERENCE EQUATIONS
ISSN	1687-1847
页码	13
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.
关键词	hibernation periodic switched systems birth pulse prey-extinction permanence
DOI	10.1186/s13662-015-0460-4
语种	英语
资助项目	National Natural Science Foundation of China[11361014] ; National Natural Science Foundation of China[10961008]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000356345200002
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20045
专题	中国科学院数学与系统科学研究院
通讯作者	Jiao, Jianjun
作者单位	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 3.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiao, Jianjun,Cai, Shaohong,Li, Limei,et al. Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse[J]. ADVANCES IN DIFFERENCE EQUATIONS,2015:13.
APA	Jiao, Jianjun,Cai, Shaohong,Li, Limei,&Chen, Lansun.(2015).Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse.ADVANCES IN DIFFERENCE EQUATIONS,13.
MLA	Jiao, Jianjun,et al."Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse".ADVANCES IN DIFFERENCE EQUATIONS (2015):13.