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带有潜伏期的禽流感模型的定性分析

Yao CHEN,Fa-guo SUN,Meng-yuan WU

Journal of Harbin University of Commerce(Natural Sciences Edition)（2017）

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Abstract
根据实际情况,在禽流感模型中考虑了人类染病后具有潜伏阶段的情况,建立了禽类和人类间传染的禽流感传播模型,研究模型的全局性态.得到了模型的基本再生数,利用V函数、极限方程理论等方法对此模型进行了稳定性分析.证明了当基本再生数不大于1时,无病平衡点全局渐近稳定;当基本再生数大于1时,地方病平衡点全局渐近稳定.
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Key words
V function,limit equation theory,globally stability,avian influenza model
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