Extinction time of stochastic SIRS models with small initial size of the infected population
Probability
2021-01-14 v1
Abstract
The stochastic SIRS model is a continuous-time Markov chain modelling the spread of infectious diseases with temporary immunity, in a homogeneously-mixing population of fixed size . We study the scaling behaviour of the extinction time of stochastic SIRS models as tends to infinity. When the initial size of infected population is small, we obtain the closed-form expression of the asymptotic distribution of this extinction time, and compare it with the data from Monte Carlo simulation.
Keywords
Cite
@article{arxiv.2101.04857,
title = {Extinction time of stochastic SIRS models with small initial size of the infected population},
author = {Jingran Zhai},
journal= {arXiv preprint arXiv:2101.04857},
year = {2021}
}