首页|A stochastic SEIRS rabies model with population dispersal: Stationary distribution and probability density function
A stochastic SEIRS rabies model with population dispersal: Stationary distribution and probability density function
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NSTL
Elsevier
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.(c) 2022 Elsevier Inc. All rights reserved.
RabiesPatch modelStationary distributionErgodicityProbability density functionSIS EPIDEMIC MODELTRANSMISSION DYNAMICSFOX RABIESPROVINCE
Shi, Zhenfeng、Jiang, Daqing、Zhang, Xinhong、Alsaedi, Ahmed
NSTL
Elsevier
