Dynamics of a multigroup stochastic SIQR epidemic model

Lamei Sanaz () and Akbari Mozhgan ()
Additional contact information
Lamei Sanaz: Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Akbari Mozhgan: Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

Monte Carlo Methods and Applications, 2024, vol. 30, issue 3, 269-280

Abstract: In this paper, we consider a multigroup stochastic SIQR epidemic model with varying total population size. After proving the existence and uniqueness of the global solution to the system, we developed sufficient conditions for the existence of an stationary ergodic distribution of the positive solutions. Then we gave sufficient conditions for extinction of the diseases which is based on the basic reproduction number in its corresponding deterministic system.

Keywords: Multigroup SIQR model; ergodic stationary distribution; extinction (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/mcma-2024-2010 (text/html)
For access to full text, subscription to the journal or payment for the individual article is required.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bpj:mcmeap:v:30:y:2024:i:3:p:269-280:n:1005

Ordering information: This journal article can be ordered from
https://www.degruyter.com/journal/key/mcma/html

DOI: 10.1515/mcma-2024-2010

Access Statistics for this article

Monte Carlo Methods and Applications is currently edited by Karl K. Sabelfeld

More articles in Monte Carlo Methods and Applications from De Gruyter
Bibliographic data for series maintained by Peter Golla ().