A Markovian regime-switching stochastic hybrid time-delayed epidemic model with vaccination

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. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates a stochastic hybrid time-delayed epidemic model with vaccination perturbed by both white noise and telegraph noise in the form of Markovian switching. Using the Lyapunov method, the existence and uniqueness of the global positive solution are demonstrated, with extinction results derived under suitable conditions with and without the effect of delay. Asymptotic bounds on solutions are also discussed, and numerical simulations are carried out to validate theoretical results with real-life disease examples.