The model of two species competing for a resource proposed by R. May and AP Shapiro has
not yet been fully explored. We study its dynamic modes. The model reveals complex …

Based on evolutionary game theory and Darwinian evolution, we propose and study
discrete-time competition models of two species where at least one species has an evolving …

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 …

This paper deals with the derivation of a discrete evolutionary Beverton–Holt system. The
model is built using evolutionary game theory methodology, which may be used to describe …

In this paper, we have derived a discrete evolutionary Beverton–Holt population model. The
model is built using evolutionary game theory methodology and takes into consideration the …

Modelling has become an eminent tool in the study of ecological systems. Ecological
modelling can help implement sustainable development, mathematical models, and system …

The classic Ricker equation x_ t+ 1= bx_ t\exp\left (-cx_ t\right) xt+ 1= bxt exp-cxt has positive
equilibria for b> 1 b> 1 that destabilize when b> e^ 2 b> e 2 after which its asymptotic …

This research deals with the derivation and dynamical analysis of a discrete-time
evolutionary Ricker population model. The model is built using Evolutionary Game Theory …

This paper is dedicated to Jim Cushing on the occasion of his 80th birthday. It is inspired by
his work on evolutionary theory. We investigate the global dynamics of discrete-time …

In this paper, we investigate the complex dynamics of a Darwinian Ricker system through a
comprehensive qualitative and dynamical analysis. Our research shows that the system …