In this paper, the qualitative behavior of two discrete-time glycolysis models is discussed.
The discrete-time models are obtained by implementing forward Euler's scheme and …

In this paper, a discrete-time prey-predator model with Allee effect is proposed. The
parametric conditions for local asymptotic stability of steady-states are investigated …

This article deals with the dynamical analysis of discrete-time Brusselator models. Euler's
forward and nonstandard difference schemes are implemented for discretization of …

In this paper, the qualitative behavior of discrete-time models related to chlorine dioxide-
iodine-malonic acid reaction is discussed. The discrete-time models are obtained by …

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 …

Bifurcation theory (center manifold and Ljapunov-Schmidt reduction, normal form theory,
universal unfolding, calculation of bifurcation diagrams) has become an important and very …

We investigate the qualitative behavior of a host‐parasitoid model with a strong Allee effect
on the host. More precisely, we discuss the boundedness, existence and uniqueness of …

We study the comprehensive dynamics of a density-dependent host–parasitoid system with
the Hassell growth function for the host population. Particularly, we investigate the …

Schnakenberg model is a system showing sustained oscillations for a simple model of
glycolysis in which a metabolic process that converts glucose to provide energy for …

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