| 具有扩散和比率依赖的三种群混合模型的分析 |
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| 引用本文： | 孙树林,原存德.具有扩散和比率依赖的三种群混合模型的分析[J].系统科学与数学,2005,25(1):087-095. |
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| 作者姓名： | 孙树林 原存德 |
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| 作者单位： | 山西师范大学数计学院,山西,临汾,041004 |
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| 基金项目： | 山西省青年科学基金(20021004)资助课题. |
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| 摘 要： | 本文讨论了捕食者具有比率依赖的功能性反应,食饵与另一种群竞争且自身可以 扩散的混合模型.证明了系统一致持久与扩散有关,而且得到了系统存在全局吸引周期 解的充分条件.
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| 关 键 词： | 比率依赖功能性反应 一致持久 全局渐近稳定性 周期性 |
| 修稿时间： | 2002年4月29日 |
ANALYSIS FOR THREE-SPECIES MIXTURE MODEL WITH DIFFUSION AND RATIO-DEPENDENCE |
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| Sun shulin,Yuan Cunde.ANALYSIS FOR THREE-SPECIES MIXTURE MODEL WITH DIFFUSION AND RATIO-DEPENDENCE[J].Journal of Systems Science and Mathematical Sciences,2005,25(1):087-095. |
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| Authors: | Sun shulin Yuan Cunde |
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| Institution: | Department of Mathematics and Computer of Shanxi Normal University |
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| Abstract: | In this paper, a nonautonomous mixture model is studied. Where the predator function response is of ratio-dependent type, the prey species can disperse between two-patches and compete with the third species in one patch. It is shown that the system is uniformly and persistently related to the dispersion rate. Furthermore, the sufficient conditions are obtained for the global asymptotic stability of a periodic solution of the system. |
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| Keywords: | Ratio-dependent function response uniform persistence global asymptotic stability |
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