Dynamical Analysis of the Stochastic COVID-19 Model Using Piecewise Differential Equation Technique  

作　　者：Yu-Ming Chu Sobia Sultana Saima Rashid Mohammed Shaaf Alharthi 

机构地区：[1]Department of Mathematics,Huzhou University,Huzhou,313000,China [2]Department of Mathematics,Imam Mohammad Ibn Saud Islamic University,Riyadh,12211,Saudi Arabia [3]Department of Mathematics,Government College University,Faisalabad,38000,Pakistan [4]Department of Mathematics and Statistics,College of Science,Taif University,P.O.Box 11099,Taif,21944,Saudi Arabia

出　　处：《Computer Modeling in Engineering & Sciences》2023年第12期2427-2464,共38页工程与科学中的计算机建模（英文）

摘　　要：Various data sets showing the prevalence of numerous viral diseases have demonstrated that the transmission is not truly homogeneous.Two examples are the spread of Spanish flu and COVID-19.The aimof this research is to develop a comprehensive nonlinear stochastic model having six cohorts relying on ordinary differential equations via piecewise fractional differential operators.Firstly,the strength number of the deterministic case is carried out.Then,for the stochastic model,we show that there is a critical number RS0 that can predict virus persistence and infection eradication.Because of the peculiarity of this notion,an interesting way to ensure the existence and uniqueness of the global positive solution characterized by the stochastic COVID-19 model is established by creating a sequence of appropriate Lyapunov candidates.Adetailed ergodic stationary distribution for the stochastic COVID-19 model is provided.Our findings demonstrate a piecewise numerical technique to generate simulation studies for these frameworks.The collected outcomes leave no doubt that this conception is a revolutionary doorway that will assist mankind in good perspective nature.

关 键 词：COVID-19 epidemic model piecewise fractional differential operators piecewise numerical scheme EXTINCTION ergodicity and stationary distribution 

分 类 号：O175[理学—数学] R18[理学—基础数学] TP3[医药卫生—流行病学]