On the extinction of stochastic Susceptible-Infected-Susceptible epidemic with distributed delays-Reference-Cited by-同舟云学术

On the extinction of stochastic Susceptible-Infected-Susceptible epidemic with distributed delays

Published:2023-07-03 Issue:4 Volume:42 Page:1866-1879
ISSN:1461-3484
Container-title:Journal of Low Frequency Noise, Vibration and Active Control
language:en
Short-container-title:Journal of Low Frequency Noise, Vibration and Active Control

Author:

Elbaz Islam M¹²,Sohaly MA²,El-Metwally H²

Affiliation:

1. Faculty of Energy and Environmental Engineering, The British University in Egypt, Cairo, Egypt

2. Mathematics Department, Faculty of Science, Mansoura University Mansoura, Egypt

Abstract

In this paper, we study a stochastic SIS epidemic model with distributed delays. The positiveness of the solutions is established. We obtain sufficient conditions for the extinction of the disease through the study of stochastic stability of the disease-free equilibrium and stability of the same equilibrium in the mean. Compared to many works on the deterministic and stochastic SIS models and their stability, the distributed delays involved in the model offer new conditions with much more boundedness on the rate of losing immunity. The disease is extinct for small and large enough values of the intensity of noise and regardless of the initial history functions and the magnitude of the basic reproductive number R0.

Funder

The Science, Technology & Innovation Funding Authority

Publisher

SAGE Publications

Subject

Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/14613484231181956

Reference35 articles.

1. The Haar wavelets based numerical solution of Reccati equation with integral boundary condition

2. Dynamics of a fractional order Zika virus model with mutant

3. Some simple epidemic models

4. A stochastic SIS epidemic model with vaccination