The present paper investigates the critical normal form coefficients for the one-parameter
and two-parameter bifurcations of a discrete-time Bazykin–Berezovskaya prey-predator …

In this paper, complex dynamics of Kopel model with nonsymmetric response between
oligopolists are discussed. The research show that for the nonsymmetric model fixed point …

In this paper, a novel type of generalized Kopel triopoly model is presented to reveal the
complex dynamics and transitions between different dynamic behaviors. First, based on …

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 …

This paper focuses on introducing a two-dimensional discrete-time chemical model and the
existence of its fixed points. Also, the one and two-parameter bifurcations of the model are …

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 investigates the importance of studying the dynamics of predator-prey systems
and the specific significance of Neimark-Sacker and period-doubling bifurcations in discrete …

The aim of this paper is to introduce a two-dimensional discrete-time prey–predator, identify
its fixed points, as well as investigate one-and two-parameter bifurcations. Numerical normal …

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 …

Abstract The time-delayed Moran-Ricker population model is investigated in this paper with
an aim to identify some of its unknown features. In this model, the decline of the essential …