Stochastic SEIR epidemic models with virus mutation and logistic growth of susceptible populations

Qi Wang, Kainan Xiang, Chunhui Zhu and Lang Zou

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 212, issue C, 289-309

Abstract: This article introduces a kind of stochastic SEIR models containing virus mutation and logistic growth of susceptible populations, whose deterministic versions have a positively invariant set and globally asymptotically stable equilibrium points. For these stochastic SEIR epidemic models, we prove they have a unique global positive solution, and also obtain sufficient conditions respectively for survival and extinction of the infectious disease. Eventually, we validate our theoretical findings using numerical simulations.

Keywords: Stochastic SEIR epidemic model; Virus mutation and logistic growth; Global positive solution; Ergodic stationary distribution; Extinction (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:212:y:2023:i:c:p:289-309

DOI: 10.1016/j.matcom.2023.04.035

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