In this paper, we investigate the global dynamics of a general SIRS epidemic model with a
ratio-dependent incidence rate and its corresponding stochastic differential equation …

In this paper, based on the results of Gray et al.(2011), we propose a new SDE SIS model
incorporating mean-reverting Ornstein–Uhlenbeck process, and prove that the stochastic …

This paper studies the spread dynamics of a stochastic SIRS epidemic model with nonlinear
incidence and varying population size, which is formulated as a piecewise deterministic …

To theoretically address the effects of random environmental change on the growth of
plankton, we propose a stochastic phytoplankton–zooplankton model with toxin-producing …

Incorporating the environmental perturbations and available resources of the public health
system, we construct both deterministic and stochastic models of SIRS type. The …

In this paper, a new stochastic eco-epidemiological model is proposed and investigated,
and the high dimensional model includes time delay and a general incidence rate which …

Toxin-producing phytoplankton (TPP) and environmental fluctuations are important factors
influencing the real aquatic ecosystems. Whether planktonic blooms are related to these …

An SEIR epidemic model incorporating both environmental and genetic factors is developed
to investigate the impact of Markovian switching on the transmission dynamics of infectious …

In this paper, we consider a stochastic SEIR epidemic model with standard incidence. By
constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the …

In this paper, we propose an SIRS influenza model with general incidence rate to describe
disease transmission in a heterogenous environment. The basic reproduction number R 0 is …