| DYNAMICS OF A NONLINEAR NON-AUTONOMOUS n-PATCHES PREDATOR-PREY DISPERSION-DELAY MODEL |
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| 引用本文： | Chen Chao Ji Kun. DYNAMICS OF A NONLINEAR NON-AUTONOMOUS n-PATCHES PREDATOR-PREY DISPERSION-DELAY MODEL[J]. 高校应用数学学报(英文版), 2007, 22(4): 393-404. DOI: 10.1007/s11766-007-0403-2 |
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| 作者姓名： | Chen Chao Ji Kun |
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| 作者单位： | Chen Chao Ji Kun School of Sciences，Jimei University，Xiamen 361021，China. |
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| 基金项目： | Supported-by the Start-up Fund of Jimei University(ZB2004009) |
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| 摘 要： | In this paper,a nonlinear nonautonomous predator-prey dispersion model with continuous distributed delay is studied,where all parameters are time-dependent.In this system consisting of n-patches the prey species can disperse among n-patches,but the predator species is confined to one patch and cannot disperse.It is proved that the system is uniformly persistent under any dispersion rate effect.Furthermore,some sufficient conditions are established for the existence of a unique almost periodic solution of the system.The example shows that the criteria in the paper are new,general and easily verifiable.
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| 关 键 词： | 生物数学 非线性非自治捕食者-被捕食者模型 周期解 时延 |
| 收稿时间： | 2007-04-10 |
| 修稿时间： | 2007-04-10 |
Dynamics of a nonlinear non-autonomous n-patches predator-prey dispersion-delay model |
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| Chen Chao,Ji Kun. Dynamics of a nonlinear non-autonomous n-patches predator-prey dispersion-delay model[J]. Applied Mathematics A Journal of Chinese Universities, 2007, 22(4): 393-404. DOI: 10.1007/s11766-007-0403-2 |
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| Authors: | Chen Chao Ji Kun |
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| Affiliation: | (1) School of Sciences, Jimei University, Xiamen, 361021, China |
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| Abstract: | In this paper, a nonlinear nonautonomous predator-prey dispersion model with continuous distributed delay is studied, where all parameters are time-dependent. In this system consisting of n-patches the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. It is proved that the system is uniformly persistent under any dispersion rate effect. Furthermore, some sufficient conditions are established for the existence of a unique almost periodic solution of the system. The example shows that the criteria in the paper are new, general and easily verifiable. |
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| Keywords: | nonlinear almost periodic solution dispersion continuous time delay global asymptotic stable. |
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