KMS Of Academy of mathematics and systems sciences, CAS
| DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION | |
| Jiao, Jianjun1; Cai, Shaohong1; Chen, Lansun2 | |
| 2011-02-01 | |
| Source Publication | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| ISSN | 0218-1274 |
| Volume | 21Issue:2Pages:453-465 |
| Abstract | In this work, we consider a three-dimensional predator-prey model with impulsive harvesting and diffusion at different fixed moments. We prove that all solutions of the investigated system are uniformly ultimately bounded. The conditions of the globally asymptotically stable prey-extinction boundary periodic solution of the investigated system are obtained, as well the permanence of the investigated system. Finally, numerical analysis is inserted to illustrate the results which provide reliable tactic basis for the practical biological resource management. |
| Keyword | Impulsive diffusion impulsive harvesting predator-prey model extinction permanence |
| DOI | 10.1142/S0218127411028507 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[10961008] ; Nomarch Foundation of Guizhou Province[2008035] ; Science Technology Foundation of Guizhou Education Department[2008038] ; Science Technology Foundation of Guizhou[2010J2130] |
| WOS Research Area | Mathematics ; Science & Technology - Other Topics |
| WOS Subject | Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences |
| WOS ID | WOS:000289468300006 |
| Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12790 |
| 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. DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2011,21(2):453-465. |
| APA | Jiao, Jianjun,Cai, Shaohong,&Chen, Lansun.(2011).DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,21(2),453-465. |
| MLA | Jiao, Jianjun,et al."DYNAMICAL ANALYSIS OF A THREE-DIMENSIONAL PREDATOR-PREY MODEL WITH IMPULSIVE HARVESTING AND DIFFUSION".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 21.2(2011):453-465. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment