In a recent development, the legacy of fractional-order multi-dimensional chaotic systems
has attracted numerous researchers owing to their valuable applications in cryptology …

In this paper, we study the complex dynamical behavior in a discrete prey–predator model
with Holling type II functional response with prey refuge. It is exhibited that the system shows …

This research paper investigates discrete predator-prey dynamics with two logistic maps.
The study extensively examines various aspects of the system's behavior. Firstly, it …

In this paper, a modified Leslie–Gower predator–prey discrete model with Michaelis–Menten
type prey harvesting is investigated. It is shown that the model exhibits several bifurcations …

Concerned in this paper is a discrete predator-prey system with Allee effect and other food
resources for the predators. The conditions on the existence and stability of fixed points are …

This paper investigates bifurcations analysis and resonances in a discrete-time prey-
predator model analytically and numerically as well. The local stability conditions of all the …

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 paper, we study a discrete-time predator–prey model with Holling type-III functional
response and harvesting in both species. A detailed bifurcation analysis, depending on …

Prey‐predator models with refuge effect have great importance in the context of ecology.
Constant refuge and refuge proportional to prey are the most popular concepts of refuge in …

Supply chains face various uncertainties due to the dynamic and unstable nature of today's
worldwide market. Introducing these uncertainties to both the upstream and downstream …