Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches
文献类型：期刊论文
| 作者 | Jiao, Jianjun1,2; Yang, Xiaosong1; Cai, Shaohong2; Chen, Lansun3 |
| 刊名 | MATHEMATICS AND COMPUTERS IN SIMULATION
 |
| 出版日期 | 2009-11-01 |
| 卷号 | 80期号:3页码:522-532 |
| 关键词 | Predator-prey model Impulsive diffusion Extinction Permanent |
| ISSN号 | 0378-4754 |
| DOI | 10.1016/j.matcom.2009.07.008 |
| 英文摘要 | In this work, we propose a delayed predator-prey model with impulsively diffusive prey between two patches. Using the stroboscopic map of the discrete dynamical system, we obtain the globally attractive condition of predator-extinction periodic solution of the system. We also obtain the permanent condition of the system by the theory of impulsive delay differential equation. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the system. Finally, the numerical analysis is inserted to illustrate the results. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved. |
| 资助项目 | 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[2008J2250] |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000272921100004 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8973]  |
| 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.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China 2.Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiao, Jianjun,Yang, Xiaosong,Cai, Shaohong,et al. Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2009,80(3):522-532. |
| APA | Jiao, Jianjun,Yang, Xiaosong,Cai, Shaohong,&Chen, Lansun.(2009).Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches.MATHEMATICS AND COMPUTERS IN SIMULATION,80(3),522-532. |
| MLA | Jiao, Jianjun,et al."Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches".MATHEMATICS AND COMPUTERS IN SIMULATION 80.3(2009):522-532. |
入库方式： OAI收割
来源：数学与系统科学研究院
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