| 草原毛虫及植被的动态模型 |
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| 作者单位： | ;1.运城学院应用数学系 |
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| 摘 要： | 考虑草原毛虫种群依食物进行自我调节,以及植被和草原毛虫的控制因素,建立了植被-草原毛虫的动态模型.得到了平衡点的存在性和稳定性以及极限环的存在性,分析了控制参数对植被和草原毛虫动态的影响.认为对草原毛虫控制作用的减弱可能是草原毛虫种群爆发的主要原因.
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| 关 键 词： | 依食物调节 动态模型 Hopf分支 爆发原因 |
The Dynamical Model of Grassland Caterpillar and Vegetation |
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| Affiliation: | ,Department of Applied Mathematics,Yuncheng University |
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| Abstract: | In this paper,a dynamic model of vegetation and grassland caterpillar is formulated.In this model,multiple factors are considered,such as,grassland caterpillar population's self-regulation according to food supply,controlling of vegetation and grassland caterpillar.The existence and stability of equilibriums and the existence of limit cycle are obtained.The effects of controlling parameters on vegetation and grassland caterpillar is analyzed.And the weakening control to grassland caterpillar might be the main reason of grassland caterpillar population outbreak. |
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| Keywords: | food-based self regulation dynamical model Hopf bifurcation outbreak reason |
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