Many real life problems are modelled by differential equations, for which analytical solutions
are not always easy to find. One of the most difficult problems is how to solve these …

A newly disclosed nonstandard finite difference method has been used to discretize a Lotka–
Volterra model to investigate the critical normal form coefficients of bifurcations for both one …

In this paper, a discrete‐time seasonally forced SIR epidemic model with a nonstandard
discretization scheme is investigated for different types of bifurcations. Although many …

This paper studies the dynamic behavior of a discrete-time prey-predator model. It is shown
that this model undergoes codimension one and codimension two bifurcations such as …

Most numerical integration schemes for the Lotka–Volterra system have the property that the
computed solutions spiral when in fact the actual solutions are periodic corresponding to …

This work is the numerical analysis and computational companion of the paper by Kamgang
and Sallet [JC Kamgang, G. Sallet, Computation of threshold conditions for epidemiological …

The interaction between prey and predator is one of the most fundamental processes in
ecology. Discrete-time models are frequently used for describing the dynamics of predator …

In this paper, we consider a two-species predator–prey model with Holling type III functional
response and non-linear predator harvesting. The proposed model is discretized using a …

Reaction–diffusion equations arise in many fields of science and engineering. Often, their
solutions enjoy a number of physical properties. We design, in a systematic way, new non …

This study focuses on the stability and local bifurcations of a discrete-time SIR epidemic
model with logistic growth of the susceptible individuals analytically, and numerically. The …