齐齐哈尔大学理学院
Published:2009
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DU Xiu-feng. Qualitative Analysis of Predator-Prey Model with Holling Ⅲ Functional Responses and Harvesting Rate[J]. 2009, 14(6): 92-95.
DOI:
DU Xiu-feng. Qualitative Analysis of Predator-Prey Model with Holling Ⅲ Functional Responses and Harvesting Rate[J]. 2009, 14(6): 92-95. DOI:
研究了在线性收获率条件下两种群都具有密度制约项的HollingⅢ类功能性反应的捕食模型
利用微分方程定性分析理论
对模型进行了定性分析.讨论了模型的食饵等倾线和捕食者等倾线的性质
并且根据它们的位置关系给出了模型唯一正平衡点存在的充要条件
研究了模型各个平衡点的性态
得到了模型的一切解是正向有界的
同时通过构造Dulac函数
由Dulac判断定理得到了模型不存在极限环的条件
并给出了唯一正平衡点全局渐近稳定的充分条件.
This paper researches a predator-prey model with Holling Ⅲ functional responses and linear harvesting rate
in which two populations have the density restriction.By using qualitative analysis theory of differential equation
it discusses the model of qualitative analysis and the properties of prey and predato’s isoclines.According to the relative position of two isoclines
the sufficient and necessary condition of the existence of only positive equilibrium is given.At the same time
it researches the properties...
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