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 | |
| Source Publication | ADVANCES IN DIFFERENCE EQUATIONS
 |
| ISSN | 1687-1847 |
| Pages | 13 |
| Abstract | 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. |
| Keyword | hibernation periodic switched systems birth pulse prey-extinction permanence |
| DOI | 10.1186/s13662-015-0460-4 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11361014] ; National Natural Science Foundation of China[10961008] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000356345200002 |
| Publisher | SPRINGER INTERNATIONAL PUBLISHING AG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20045 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Jiao, Jianjun |
| Affiliation | 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 |
| Recommended Citation 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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