The present study focuses on the dynamical aspects of a discrete-time Leslie-Gower
predator-prey model accompanied by a Holling type III functional response. Discretization is …

This paper is related to some dynamical aspects of a class of predator–prey interactions
incorporating cannibalism and Allee effects for non-overlapping generations. Cannibalism …

In this paper, we have established some fixed point theorems in the context of strong b-
metric spaces. For this purpose, Ciric type contraction for single-valued mapping and …

The Allee effect and harvesting always get a pivotal role in studying the preservation of a
population. In this context, we consider a Caputo fractional-order logistic model with the …

In this study, we examine the plant–herbivore discrete model of apple twig borer and grape
vine interaction, with a particular emphasis on the extended weak-predator response to …

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

The complex dynamics of a predator-prey system in discrete time are studied. In this system,
we consider the prey's Gompertz growth and the square-root functional response. The …

Abstract To discretize the Lotka-Volterra prey-predator model, we adopted a dynamically
consistent nonstandard finite difference scheme. The existence of fixed points and their …

Chaotic maps have been widely applied on image encryption for their complexity and
sensitivity to key variation. In this work, we propose second-order chaotic maps with …

The chaotic dynamics of a discrete-time predator-prey model with prey refuge and Holling
type-II functional response are investigated. We investigate the system's existence and local …