Stability of stochastic SIS model with disease deaths and variable diffusion rates

Schurz, Henri and Tosun, Kursad: Stability of stochastic SIS model with disease deaths and variable diffusion rates. Electronic journal of qualitative theory of differential equations 14. pp. 1-24. (2019)

[img] Cikk, tanulmány, mű
ejqtde_2019_014.pdf

Download (585kB)

Abstract

The SIS model is a fundamental model that helps to understand the spread of an infectious disease, in which infected individuals recover without immunity. Because of the random nature of infectious diseases, we can estimate the spread of a disease in population by stochastic models. In this article, we present a class of stochastic SIS model with births and deaths, obtained by superimposing Wiener processes (white noises) on contact and recovery rates and allowing variable diffusion rates. We prove existence of the unique, positive and bounded solution of this nonlinear system of stochastic differential equations (SDEs) and examine stochastic asymptotic stability of equilibria. In addition, we simulate the model by considering a numerical approximation based on a balanced implicit method (BIM) on an appropriately bounded domain D ⊂ R2.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 14
Page Range: pp. 1-24
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.14
Uncontrolled Keywords: Sztochasztikus differenciálegyenlet
Additional Information: Bibliogr.: p. 21-24. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 06:08
Last Modified: 2019. May. 31. 06:08
URI: http://acta.bibl.u-szeged.hu/id/eprint/58103

Actions (login required)

View Item View Item