In this paper, we investigate the threshold behaviour of a susceptible-infected-recovered
(SIR) epidemic model with stochastic perturbation. When the noise is small, we show that …

The present paper studies a fractional‐order SEIR epidemic model for the transmission
dynamics of infectious diseases such as HIV and HBV that spreads in the host population …

We present in this paper an SIRS epidemic model with saturated incidence rate and disease-
inflicted mortality. The Global stability of the endemic equilibrium state is proved by …

In this paper, an SVEIS epidemic model for an infectious disease that spreads in the host
population through horizontal transmission is investigated. The role that temporary immunity …

In a resource-limited environment, we propose and study an epidemic model consisting of
two groups of hosts to reflect the different risk levels of becoming infected and transmitting …

In this paper, an epidemic model with nonlinear incidences is proposed to describe the
dynamics of diseases spread by vectors (mosquitoes), such as malaria, yellow fever …

As drug treatment allows more and more people with HIV/AIDS to live longer, the trade-off
between benefits to drug treatment and potential threat infectivity individuals needs to be …

The model system of ordinary differential equations considers two classes of latently infected
individuals, with different risk of becoming infectious. The system has positive solutions. By …

Nowadays the nature of the emerging infectious diseases is becoming very complicated.
Diseases spread among human beings through different stages and also initially proper …

In this paper, we have proposed and mathematically modeled an epidemic problem with
vector-borne disease. We have taken three different classes for the trees, namely …