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Dynamics of a multigroup SIQS epidemic model under regime switching
Journal article   Peer reviewed

Dynamics of a multigroup SIQS epidemic model under regime switching

Qun Liu, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi and Bashir Ahmad
Stochastic analysis and applications, Vol.38(5), pp.769-796
02/09/2020
DOI: https://doi.org/10.1080/07362994.2020.1722167

Abstract

Extinction Markovian switching Multigroup SIQS epidemic model Persistence in the mean Positive recurrence
In this paper, we study the dynamical behavior of a multigroup SIQS epidemic model, which is formulated as a piecewise deterministic Markov process. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, in the case of diseases persistence, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model by using the stochastic Lyapunov function with regime switching.

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