Speaker
Description
Stochastic version of Susceptible-Infected-Recovered-Vaccinated (SIRV) epidemiological model is observed. The model is constructed from the ordinary differential SIRV model by introducing the additive time-changed Levy noise in the transmission coeffcient. The noise is constructed in terms of a conditional Brownian motion and a doubly stochastic Poisson random field. The structure of these noises can be strongly related to the corresponding time-changed Brownian motion and the time-changed Poisson random measure, when the time-change is independent of the Brownian motion and Poisson field. The existence of a unique global positive solution of this system of stochastic differential equations is proved. The conditions under which the infectious disease in the population of non-constant size extincts and persist are given in terms of the parameters of the model and the time-change processes from the noise.
