Threshold behavior in a stochastic SVIR model with general incidence rates

In this paper, we consider an SVIR model with general incidence rates which covers many common incidence rate models and is perturbed by environmental white noises. We derive a sufficient and almost necessary condition for extinction and ergodicity for this model. One of the distinctive features is that we introduce a new technique which combines the classic Lyapunov function with the methods proposed by Du et al. (2016) to study the ergodic stationary distribution and obtain threshold number. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper considers an SVIR model with general incidence rates perturbed by environmental white noises. A sufficient and almost necessary condition for extinction and ergodicity is derived. The introduction of a new technique combining classic Lyapunov function and methods proposed by Du et al. (2016) is a distinctive feature for studying the ergodic stationary distribution and obtaining threshold number.