Abstract
This paper considers a stochastic hybrid time-delayed epidemic model with vaccination perturbed by both white noise and telegraph noise in the form of Markovian switching. Using Lyapunov method, we show existence and uniqueness of the global positive solution. Under some suitable conditions, we derive extinction with and without effect of delay. Moreover, the asymptotic bounds on solutions is also discussed. Finally, we carry out the numerical simulations, including two examples based on real life diseases to confirm our theoretical results.
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