In the present study, we develop and analyze an SEIR epidemic model to assess the
consequences of media awareness program and treatment control. The disease …

This paper studies a stochastic HIV-1 infection model with degenerate diffusion. The
asymptotic dynamics of the stochastic model are shown to be governed by a threshold …

In this work, we investigate a stochastic epidemic model with relapse and distributed delay.
First, we prove that our model possesses and unique global positive solution. Next, by …

The aim of this work is to study a new stochastic SIRS epidemic model that includes the
mean-reverting Ornstein–Uhlenbeck process and a general incidence rate. First, we prove …

In this paper, we establish the existence of a unique global positive solution for a stochastic
epidemic model, incorporating media coverage and driven by Lévy noise. We also …

This study investigates a standard vaccination game presuming the repeated-season
framework, in which we mutually merge the dynamics of disease spread, which obeys the …

This paper formulates two stochastic nonautonomous SIRI epidemic systems with nonlinear
perturbations. The main aim of this study is to investigate stochastic dynamics of the two SIRI …

In this work we investigate the existence of a unique global positive solution for a stochastic
SIRS epidemic model with a general awareness-induced incidence. We also study the …

In this paper, we consider a stochastic epidemic model with relapse, cure and a non-linear
incidence rate function. Firstly, we show the existence and uniqueness of a global positive …

In this paper, we study a stochastic epidemic model with isolation and nonlinear incidence.
In particular, we propose a stochastic threshold for the model without any sharp sufficient …