Vector-host epidemic model with direct transmission in random environment

Hyunjin Son, Dawit Denu

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This paper studies a stochastic vector-host epidemic model with direct transmission in random environment, governed by a system of stochastic differential equations with regime-switching diffusion. We first examine the existence and uniqueness of a positive global solution. Then, we investigate stability properties of the solution, including almost sure and pth moment exponential stability and stochastic asymptotic stability. Moreover, we study conditions for the existence and uniqueness of a stationary distribution. Numerical simulations are presented to illustrate the theoretical results.

Original languageEnglish
Article number113117
JournalChaos
Volume31
Issue number11
DOIs
StatePublished - Nov 1 2021

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics

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