Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

Other (Strategic Research Themes)

Publication Details

Author list: Rukhsar Ikram,. Amir Khan,. Mostafa Zahri,. Anwar Saeed,.Mehmet Yavuz, Poom Kumam

Publisher: Elsevier

Publication year: 2022

Volume number: 141

ISSN: 0010-4825

eISSN: 1879-0534

URL: https://www.sciencedirect.com/science/article/pii/S0010482521009094?via%3Dihub

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

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 R0s 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.

Keywords

No matching items found.