| 与比率有关的捕食——被捕食生态模型 |
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| 引用本文： | 盛平兴.与比率有关的捕食——被捕食生态模型[J].应用数学与计算数学学报,1995,9(1):71-75. |
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| 作者姓名： | 盛平兴 |
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| 作者单位： | 上海大学数学系 上海，201800 |
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| 摘 要： | 本文讨论了一类生态模型的有效性，种群不灭性，闭轨和同窗轨的存在性，平衡点的稳定性，并定义了向量场同胚映射。
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| 关 键 词： | 种群不灭性 稳定性 生态模型 捕食被捕食模型 |
A Class of Predator-Prey Systems with Ratio-Dependence |
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| Sheng Pingxing.A Class of Predator-Prey Systems with Ratio-Dependence[J].Communication on Applied Mathematics and Computation,1995,9(1):71-75. |
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| Authors: | Sheng Pingxing |
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| Abstract: | This paper discusses a class of biological models. The availability of models, the persistence of populations, the stability of equilibria and the existence of closed orbits and homoclinic orbits are verified under certain assumptions. A vector field homeomorphism is defined. |
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| Keywords: | persistence equilibria stability closed orbit homoclinic orbit vector field homeomorphism |
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