In this paper, we establish a predator–prey model with Beddington–Deangelis functional
response. For this model, firstly, the existence of the positive equilibrium point and the …

In natural ecosystems, predators often live in groups and have evolved cooperative hunting
behaviors over time. This cooperative behavior on the one hand increases the success rate …

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 …

This work considers a discrete-time predator-prey system with a strong Allee effect. The
existence and topological classification of the system's possible fixed points are …

The interrelationship between predator populations and prey populations is a central
problem in biology and mathematics. Setting up appropriate predator–prey models to …

The present paper investigates the critical normal form coefficients for the one-parameter
and two-parameter bifurcations of a two-dimensional discrete-time ratio-dependence …

The complex dynamics of a slow-fast predator-prey interaction with herd behavior are
examined in this work. We investigate the presence and stability of fixed points. By …

In many environments, predators have significantly longer lives and meet several
generations of prey, or the prey population reproduces rapidly. The slow–fast effect can best …

The objective of this work is to investigate the complex dynamics of a discrete predator–prey
system using the method of piecewise constant argument for discretization. An analysis is …

The bifurcation of constrained optimization optimal solutions and its applications Page 1
AIMS Mathematics, 8(5): 12373–12397. DOI: 10.3934/math.2023622 Received: 07 January …