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

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 [Formula: see text] is established. A stationary distribution (SD) under several conditions is obtained by...

Descripción completa

Detalles Bibliográficos
Autores principales: Ikram, Rukhsar, Khan, Amir, Zahri, Mostafa, Saeed, Anwar, Yavuz, Mehmet, Kumam, Poom
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8654723/
https://www.ncbi.nlm.nih.gov/pubmed/34922174
http://dx.doi.org/10.1016/j.compbiomed.2021.105115
Descripción
Sumario: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 [Formula: see text] 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.

Ejemplares similares