Dynamical behavior of a stochastic regime-switching epidemic model with logistic growth and saturated incidence rate

<abstract><p>We studied a class of a stochastic hybrid SIQRS model with nonlinear incidence and vertical transmission and obtained a threshold $ \Delta $ to distinguish behaviors of the model. Concretely, the disease was extinct exponentially when $ \Delta < 0 $. If $ \Delta > 0 $, the model we discussed admitted an invariant measure. A new class of the Lyapunov function was constructed in proving the latter conclusion. Some remarks were presented to shed light on the major results. Finally, several numerical simulations were provided to test the reached results.</p></abstract>

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Dynamical behavior of a stochastic regime-switching epidemic model with logistic growth and saturated incidence rate

Cited by 2 publications

References 31 publications

Dynamics of a Stochastic Brucellosis Model with Vaccination and Environmental Pollution Transmission

Dynamics of a Stochastic Brucellosis Model with Vaccination and Environmental Pollution Transmission

Asymptotic behavior of a stochastic hybrid SIQRS model with vertical transmission and nonlinear incidence

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