一类带病毒变异的随机SIR模型解的渐近性态
Asymptotic Behavior of Solutions for a Class of Stochastic SIR Models with Virus Mutation
摘要: 本文中,我们利用Lyapunov分析方法证明了一类带病毒变异的随机SIR模型正解的全局存在唯一性,并且证明了其解在确定性模型的无病平衡点和地方病平衡点的渐近性态。
Abstract: In this paper, we use the Lyapunov analysis method to prove the global existence and uniqueness of a positive solution for a class of stochastic SIR models with virus mutation, and to prove the asymptotic behavior of the solution in the deterministic model of disease-free equilibrium and endemic equilibrium.
文章引用:王艺, 马洁, 魏毅强. 一类带病毒变异的随机SIR模型解的渐近性态[J]. 应用数学进展, 2018, 7(7): 863-875. https://doi.org/10.12677/AAM.2018.77104

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