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Dynamics of DS-I-A epidemic model with multiple stochastic perturbations
Journal article   Peer reviewed

Dynamics of DS-I-A epidemic model with multiple stochastic perturbations

Songnan Liu, Daqing Jiang, Xiaojie Xu, Ahmed Alsaedi and Tasawar Hayat
Mathematical methods in the applied sciences, Vol.41(16), pp.6024-6049
15/11/2018
DOI: https://doi.org/10.1002/mma.5115

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we investigate the dynamics behavior of DS-I-A epidemic model with multiple stochastic perturbations. Sufficient conditions for extinction of disease are established. Especially, we conclude that there is a stationary distribution for the stochastic system and it has ergodicity under appropriate conditions. At last, some examples and simulations are provided to illustrate our results.

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