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
_version_ 1784611923105415168
author Ikram, Rukhsar
Khan, Amir
Zahri, Mostafa
Saeed, Anwar
Yavuz, Mehmet
Kumam, Poom
author_facet Ikram, Rukhsar
Khan, Amir
Zahri, Mostafa
Saeed, Anwar
Yavuz, Mehmet
Kumam, Poom
author_sort Ikram, Rukhsar
collection PubMed
description 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.
format Online
Article
Text
id pubmed-8654723
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Elsevier Ltd.
record_format MEDLINE/PubMed
spelling pubmed-86547232021-12-09 Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay Ikram, Rukhsar Khan, Amir Zahri, Mostafa Saeed, Anwar Yavuz, Mehmet Kumam, Poom Comput Biol Med Article 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. Elsevier Ltd. 2022-02 2021-12-09 /pmc/articles/PMC8654723/ /pubmed/34922174 http://dx.doi.org/10.1016/j.compbiomed.2021.105115 Text en © 2021 Elsevier Ltd. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Ikram, Rukhsar
Khan, Amir
Zahri, Mostafa
Saeed, Anwar
Yavuz, Mehmet
Kumam, Poom
Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay
title Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay
title_full Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay
title_fullStr Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay
title_full_unstemmed Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay
title_short Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay
title_sort extinction and stationary distribution of a stochastic covid-19 epidemic model with time-delay
topic Article
url 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
work_keys_str_mv AT ikramrukhsar extinctionandstationarydistributionofastochasticcovid19epidemicmodelwithtimedelay
AT khanamir extinctionandstationarydistributionofastochasticcovid19epidemicmodelwithtimedelay
AT zahrimostafa extinctionandstationarydistributionofastochasticcovid19epidemicmodelwithtimedelay
AT saeedanwar extinctionandstationarydistributionofastochasticcovid19epidemicmodelwithtimedelay
AT yavuzmehmet extinctionandstationarydistributionofastochasticcovid19epidemicmodelwithtimedelay
AT kumampoom extinctionandstationarydistributionofastochasticcovid19epidemicmodelwithtimedelay

Ejemplares similares