A discrete predator-prey system with age-structure for predator and natural barriers for prey
文献类型：期刊论文
| 作者 | Tang, S; Chen, L |
| 刊名 | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| 出版日期 | 2001-07-01 |
| 卷号 | 35期号:4页码:675-690 |
| 关键词 | age-structure natural barrier subcommunity persistence |
| ISSN号 | 0764-583X |
| 英文摘要 | We analyze a two species discrete predator-prey model in which the prey disperses between two patches of a heterogeneous environment with barriers and the mature predator disperses between the patches with no barrier. By using the discrete dynamical system generated by a monotone, concave maps for subcommunity of prey, we obtain the subcommunity of prey exists an equilibrium which attracts all positive solutions, and using the stability trichotomy results on the monotone and continuous operator, we obtain some sufficient conditions for the permanence of species. These results are applied to the models with rational growth functions and exponential growth functions. We also present numerical examples to illustrate the dynamic complexity of systems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000171225300004 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16616]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tang, S |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, S,Chen, L. A discrete predator-prey system with age-structure for predator and natural barriers for prey[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2001,35(4):675-690. |
| APA | Tang, S,&Chen, L.(2001).A discrete predator-prey system with age-structure for predator and natural barriers for prey.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,35(4),675-690. |
| MLA | Tang, S,et al."A discrete predator-prey system with age-structure for predator and natural barriers for prey".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 35.4(2001):675-690. |
入库方式： OAI收割
来源：数学与系统科学研究院
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