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A Forest Disease and Insect Pests Model which has a Forest Age Structure with Disease Rate Change Functions

机译:一种森林疾病和虫害模型,具有森林时代结构,具有疾病率变化功能

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摘要

This communication mainly covers investigations on the dynamic characteristics of forest diseases and insect pests' model which has a forest age structure with disease rate change functions. Firstly, the age structure model with partial differential equation with the function of the course is established. Secondly, it proves the existence of non-infected and infected steady state model. Finally, the stability and asymptotic stability of the steady state are discussed, and the condition of local asymptotic stability is obtained.
机译:该通信主要涉及对森林疾病和昆虫害虫模型的动态特征的调查,其具有森林时代结构与疾病率变化功能。首先,建立了具有课程功能的局部微分方程的年龄结构模型。其次,它证明存在未感染和感染的稳态模型。最后,讨论了稳定状态的稳定性和渐近稳定性,获得了局部渐近稳定性的条件。

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