KMS Of Academy of mathematics and systems sciences, CAS
| Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments | |
| Jiao, Jianjun1; Cai, Shaohong1; Chen, Lansun2 | |
| 2011-08-01 | |
| Source Publication | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
 |
| ISSN | 1468-1218 |
| Volume | 12Issue:4Pages:2232-2244 |
| Abstract | In this work, we consider a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments. Firstly, we prove that all solutions of the investigated system are uniformly ultimately bounded. Secondly, the conditions of the globally asymptotically stable prey-extinction boundary periodic solution of the investigated system are obtained. Thirdly, the permanence of the investigated system is also obtained. Finally, numerical analysis is inserted to illustrate the results. Our results provide reliable tactic basis for the practical biological economics management. (C) 2011 Elsevier Ltd. All rights reserved. |
| Keyword | Predator-prey system Birth pulse Impulsive harvesting Extinction Permanence |
| DOI | 10.1016/j.nonrwa.2011.01.005 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[10961008] ; Nature Science Research of Guizhou Province Department[2010027] ; Science Technology Foundation of Guizhou[2010J2130] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000291196000031 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12528 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Jiao, Jianjun |
| Affiliation | 1.Guizhou Coll Finance & Econ, Sch Math & Stat, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China 2.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Jiao, Jianjun,Cai, Shaohong,Chen, Lansun. Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2011,12(4):2232-2244. |
| APA | Jiao, Jianjun,Cai, Shaohong,&Chen, Lansun.(2011).Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,12(4),2232-2244. |
| MLA | Jiao, Jianjun,et al."Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 12.4(2011):2232-2244. |
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