This paper is to investigate the dynamics of a stochastic SIS epidemic model with saturated
incidence rate and double epidemic diseases which make the research more complex. The …

This paper characterizes the qualitative dynamics of a stochastic SIRS epidemic model. The
study shows that the dynamics of the model are determined by a certain threshold quantity …

This paper discusses and formulates a continuous-time SEIR-type epidemic model of
pseudo-mass action type with finitely distributed delays under a very general, potentially …

In this paper, we present the threshold of a stochastic SIQS epidemic model which
determines the extinction and persistence of the disease. Furthermore, we find that noise …

We discuss the effect of introducing telegraph noise, which is an example of an
environmental noise, into the susceptible–infectious–recovered–susceptible (SIRS) model …

This study aims to analyze the dynamic behaviors of a stochastic SIRI epidemic model with
nonlinear relapse under regime switching. We present the necessary conditions for both …

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 …

Considering the sudden change of environmental disturbance, a stochastic susceptible
infectious recovered (SIR) model with Markov jump and the limited medical resources is …

In this paper, we consider a stochastic SIRS model with general incidence rate and
perturbed by both white noise and color noise. We determine the threshold λ that is used to …

In this paper we look at the two dimensional stochastic differential equation (SDE)
susceptible-infected-susceptible (SIS) epidemic model with demographic stochasticity …