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 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 …

This paper presents a discrete predator–prey interaction model involving hibernating
vertebrates, with detailed analysis and simulation. Hibernation contributes to the survival …

In this paper, we study the local, global, and bifurcation properties of a planar nonlinear
asymmetric discrete model of Ricker type that is derived from a Darwinian evolution strategy …

The diversity and stability of soil microbial communities are indispensable components for
maintaining the functions and services of agricultural ecosystems and play crucial roles in …

Since Darwin, evolutionary population dynamics has captivated scientists and has
applications beyond biology, such as in game theory where economists use it to explore …

This study explores the dynamics of a Darwinian–Cushing population model, focusing on
both one-and two-parameter bifurcations. We conduct a thorough analysis of the conditions …

In this work, a discrete-time evolutionary Beverton-Holt population model is formulated. The
existence and local asymptotic stability of the positive equilibrium point are studied. It is also …

The dynamics of prey–predator interactions are often modeled using differential or
difference equations. In this paper, we investigate the dynamical behavior of a two …

Since its inception, evolution theory has garnered much attention from the scientific
community for a good reason: it theorizes how various living organisms came to be and what …