Persistence and global stability in a delayed predator-prey system with Holling-type functional response
文献类型：期刊论文
| 作者 | Xu, R; Chen, LS; Chaplain, MAJ |
| 刊名 | ANZIAM JOURNAL
 |
| 出版日期 | 2004-07-01 |
| 卷号 | 46页码:121-141 |
| ISSN号 | 1446-1811 |
| 英文摘要 | A delayed predator-prey system with Holling type III functional response is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of suitable Lyapunov functionals, sufficient conditions are derived for the local and global asymptotic stability of a positive equilibrium of the system. Numerical simulations are presented to illustrate the feasibility of our main results. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000224267600010 |
| 出版者 | AUSTRALIAN MATHEMATICS PUBL ASSOC INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/830]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, R |
| 作者单位 | 1.Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland |
| 推荐引用方式 GB/T 7714 | Xu, R,Chen, LS,Chaplain, MAJ. Persistence and global stability in a delayed predator-prey system with Holling-type functional response[J]. ANZIAM JOURNAL,2004,46:121-141. |
| APA | Xu, R,Chen, LS,&Chaplain, MAJ.(2004).Persistence and global stability in a delayed predator-prey system with Holling-type functional response.ANZIAM JOURNAL,46,121-141. |
| MLA | Xu, R,et al."Persistence and global stability in a delayed predator-prey system with Holling-type functional response".ANZIAM JOURNAL 46(2004):121-141. |
入库方式： OAI收割
来源：数学与系统科学研究院
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