一类H1N1的动力学模型及其稳定性分析
ynamic model of a class of H1N1 and its stability analysis
利用疾病传播的一般规律建立HIN1的传染病动力学模型。运用数学方法对模型进行分析,得到了模型的基本再生数。当系统仅存在无病平衡点,它是稳定的;当系统存在两个平衡点:无病平衡点和地方病平衡点。此时无病平衡点是不稳定的而地方病平衡点是稳定的。
Based on the law of disease propagation, this paper sets up dynamic model of infectious disease of H1N1, applies mathematical method to analyze the model, the basic reproduction number is identified. When there exists only a disease-free equilibrium point, it is stable; when there are two equilibrium points, disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is unstable, while the endemic equilibrium is stable.
张娟、刘乐乐
基础医学数学
传染病模型平衡点稳定性
epidemic modelequilibriumstability
张娟,刘乐乐.一类H1N1的动力学模型及其稳定性分析[EB/OL].(2010-04-09)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201004-332.点此复制
评论