由G-布朗运动驱动的SIR传染病模型
SIR Model Driven by G-Brownian Motion
摘要: 本文研究了由G-布朗运动驱动的SIR传染病模型,证明了此模型具有唯一的全局正解。另外,还研究了在一定条件下模型的解分别与无病均衡点和有病均衡点的渐近行为。
Abstract: In this paper, we investigate the stochastic SIR model driven by G-Brownian motion. We show that it has a unique global positive solution. In addition, the asymptotic behavior of the model solution to the disease-free equilibrium point and the epidemic equilibrium point under certain conditions is studied.
文章引用:丁敏, 郭睿, 闫理坦. 由G-布朗运动驱动的SIR传染病模型[J]. 统计学与应用, 2020, 9(6): 944-957. https://doi.org/10.12677/SA.2020.96099

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