Abstract
This work aims to give a detailed analysis of a stochastic epidemic model with a general incidence rate g(S)I. We introduce the generalized stochastic threshold Rs(g) that will be used as a threshold condition of extinction, persistence and existence of an ergodic stationary distribution. We also investigate the critical case when Rs(g)=1. Numerical illustrations of the findings are given via different types of function g.
Original language | English |
---|---|
Article number | 110690 |
Journal | Chaos, Solitons and Fractals |
Volume | 144 |
DOIs | |
Publication status | Published - Mar 2021 |
Keywords
- Persistence
- Stationary distribution
- Stochastic epidemic model
- Stochastic stability
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Mathematics
- General Physics and Astronomy
- Applied Mathematics