时滞随机 COVID-19 传染病模型的灭绝和平衡分布。
Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay.
机构信息
Qurtuba University of Science and Information Technology Hayatabad Peshawar, Pakistan.
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology, Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10 140, Thailand; Department of Mathematics and Statistics, University of Swat, KP, Pakistan.
出版信息
Comput Biol Med. 2022 Feb;141:105115. doi: 10.1016/j.compbiomed.2021.105115. Epub 2021 Dec 9.
We reformulate a stochastic epidemic model consisting of four human classes. We show that there exists a unique positive solution to the proposed model. The stochastic basic reproduction number R is established. A stationary distribution (SD) under several conditions is obtained by incorporating stochastic Lyapunov function. The extinction for the proposed disease model is obtained by using the local martingale theorem. The first order stochastic Runge-Kutta method is taken into account to depict the numerical simulations.
我们重新构建了一个包含四个人类群体的随机传染病模型。我们证明了所提出模型存在唯一的正解。建立了随机基本再生数$R$。通过引入随机李雅普诺夫函数，得到了在几种条件下的平稳分布（SD）。利用局部鞅定理得到了所提出疾病模型的灭绝条件。采用一阶随机龙格库塔方法来描述数值模拟。
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