This paper proposes a new definition of permanence for stochastic population models,
which overcomes some limitations and deficiency of the existing ones. Then, we explore the …

In this paper, we present a stochastic HIV/AIDS model with standard incidence rate to
investigate the impact of random fluctuations on the HIV viral dynamics. Firstly, the sufficient …

In this paper, we establish a new fractional order SIS (frSIS) model by way of continuous
time random walk. The value of this study lies in two aspects. Mathematically, we provide a …

This paper aims to study an SIS epidemic model with media coverage from a general
deterministic model to a stochastic differential equation with environment fluctuation …

In this paper, a stochastic SIS epidemic model with nonlinear incidence rate and double
epidemic hypothesis is proposed and analysed. We explain the effects of stochastic …

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 …

In this paper, stochastic effect on the spread of the infectious disease with saturated
incidence rate and the special transfer from infectious is discussed. The threshold dynamics …

A stochastic mathematical model with both horizontal and vertical transmission is proposed
to investigate the dynamical behavior of SIR disease. By employing theories of stochastic …

In this study, a delayed HIV stochastic model with virus-to-cell infection, cell-to-cell
transmission and B-cell immune response is proposed. We first transform the stochastic …

In this paper, we investigate the dynamical behavior for a stochastic SIS epidemic model
with isolation which is as an important strategy for the elimination of infectious diseases. It is …