On invariant measures and the asymptotic behavior of a stochastic delayed SIRS epidemic model

Xiaoming Fu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 523, issue C, 1008-1023

Abstract: In this paper, we consider a stochastic epidemic model with time delay and general incidence rate. We first prove the existence and uniqueness of the global positive solution. By using the Krylov–Bogoliubov method, we obtain the existence of invariant measures. Furthermore, we study a special case where the incidence rate is bilinear with distributed time delay. When the basic reproduction number R0<1, the analysis of the asymptotic behavior around the disease-free equilibrium E0 is provided while when R0>1, we prove that the invariant measure is unique and ergodic. The numerical simulations also validate our analytical results.

Keywords: Stochastic delayed SIRS model; General incidence rate; Invariant measure; Asymptotic behavior (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119306119
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:523:y:2019:i:c:p:1008-1023

DOI: 10.1016/j.physa.2019.04.181

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().