KMS Of Academy of mathematics and systems sciences, CAS
Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse | |
Jiao, Jianjun1; Cai, Shaohong1; Li, Limei2; Chen, Lansun3 | |
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. |
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