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Dynamics of a stochastic epidemic model with markov switching and general incidence rate

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Dynamics of a stochastic epidemic model with markov switching and general incidence rate

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In this paper, the stochastic SIR epidemic model with Markov switching and general incidence rate is investigated. We classify the model by introducing a threshold value λ. To be more specific, we show that if λ < 0 then the disease-free is globally asymptotic stable i.e., the disease will eventually disappear while the epidemic is strongly stochastically permanent provided that λ > 0

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Nội dung Text: Dynamics of a stochastic epidemic model with markov switching and general incidence rate

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