Stochastic SEIR epidemic models with virus mutation and logistic growth of susceptible populations
Stochastic SEIR epidemic models with virus mutation and logistic growth of susceptible populations
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DOI：
10.1016/j.matcom.2023.04.035
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发表时间：
2023-05
影响因子：
4.6
通讯作者：
Qi Wang;Kainan Xiang;Chunhui Zhu;Lan-Hua Zou
中科院分区：
文献类型：
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作者：
Qi Wang;Kainan Xiang;Chunhui Zhu;Lan-Hua Zou
介绍了一类含有病毒突变和易感种群Logistic增长的随机SEIR模型，其确定型模型具有正不变集和全局渐近稳定的平衡点.对于这类随机SEIR传染病模型，我们证明了它们存在唯一的全局正解，并分别得到了传染病生存和灭绝的充分条件。最后，我们使用数值模拟验证我们的理论研究结果。
This article introduces a kind of stochastic SEIR models containing virus mutation and logistic growth of susceptible populations, whose deterministic versions have a positively invariant set and globally asymptotically stable equilibrium points. For these stochastic SEIR epidemic models, we prove they have a unique global positive solution, and also obtain sufficient conditions respectively for survival and extinction of the infectious disease. Eventually, we validate our theoretical findings using numerical simulations.