Extinction and stationary distribution of an epidemic model with partial vaccination and nonlinear incidence rate

Fengying Wei and Lihong Chen

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: A stochastic susceptible–infected–vaccinated model with a general incidence rate and varying population size is considered in this paper. By means of constructing a suitable Lyapunov function, the sufficient conditions for the extinction are derived. Further, some conditions that guarantee the existence of a unique stationary distribution is obtained. The main results are illustrated by computer simulations.

Keywords: Epidemic model; Nonlinear incidence rate; Partial vaccination; Independent Gaussian white noise; Stationary distribution (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s037843711931622x

DOI: 10.1016/j.physa.2019.122852

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