2 research outputs found
A stochastic SIRI epidemic model with Lévy noise
Some diseases such as herpes, bovine and human tuberculosis exhibit
relapse in which the recovered individuals do not acquit permanent immunity
but return to infectious class. Such diseases are modeled by SIRI models.
In this paper, we establish the existence of a unique global positive solution
for a stochastic epidemic model with relapse and jumps. We also investigate
the dynamic properties of the solution around both disease-free and endemic
equilibria points of the deterministic model. Furthermore, we present some
numerical results to support the theoretical work