A stochastic SEIRS rabies model with population dispersal: Stationary distribution and probability density function

Zhenfeng Shi, Daqing Jiang, Xinhong Zhang and Ahmed Alsaedi

Applied Mathematics and Computation, 2022, vol. 427, issue C

Abstract: In this paper, we propose a stochastic SEIRS rabies epidemic models with two patches to investigate the spatial spread of rabies under the influence of environmental noise. Adopting a new technique to construct the stochastic Lyapunov functions, we obtain the sufficient conditions for the existence of an ergodic stationary distribution. In addition, if the movement of dogs is forbidden, we obtain the exact expression of probability density function around a quasi-equilibrium point. Finally, numerical simulations are employed to verify our analytical results and reveal the impact of stochastic perturbations on rabies transmission.

Keywords: Rabies; Patch model; Stationary distribution; Ergodicity; Probability density function (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:427:y:2022:i:c:s0096300322002636

DOI: 10.1016/j.amc.2022.127189

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