In this paper, we propose a delayed discrete SIR disease model with a saturate incidence
rate and extend it to a patchy environment by taking the dispersal of susceptible individuals …

The stability of a simple dynamical system subject to multiplicative one-side pulse noise with
hidden periodicity is investigated both analytically and numerically. The stability analysis is …

In this paper, we propose a class of discrete SIR epidemic models which are derived from
SIR epidemic models with distributed delays by using a variation of the backward Euler …

Prey–predator system with prey refuge for the case of non-overlapping generations is
considered here for our present study. Foraging efficiency of predator largely varies with the …

In this paper, by applying a variation of the backward Euler method, we propose a discrete-
time SIR epidemic model whose discretization scheme preserves the global asymptotic …

A non-standard finite difference method is proposed for an epidemic model which describes
the hepatitis B virus infection with spatial dependence. Using the theory of M-matrix, it is …

We establish a discrete virus dynamic model by discretizing a continuous HIV‐1 virus model
with bilinear infective rate using 'hybrid'Euler method. We discuss not only the existence and …

Background The spread of infectious diseases is so important that changes the demography
of the population. Therefore, prevention and intervention measures are essential to control …

In this paper, we consider the permanence of a discrete SIRS epidemic model with time
delays. This model is constructed from the discretization by the Euler method. Applying the …

The dynamics of a single population with non-overlapping generations can be described
deterministically by a scalar difference equation in this study. A discrete-time Beverton–Holt …