In this paper, we consider a Leslie–Gower predator–prey model with Allee effect on the prey
and a linear functional response. Here the Allee effect impacts the birth rate of the prey …

The main object of this work is to analyse the impacts of fear effect on the dynamics of
predator–prey interaction incorporating non linear prey refuge to control the extinction of …

Fold bifurcations—also called saddle-node bifurcations—mark a point where two branches
of stable and unstable steady-state solutions merge and annihilate each other. As fold …

We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-
dependent functional response and show the existence and stability of two interior …

This paper considers a Leslie-Gower predator–prey system with Allee effect and prey
refuge. By considering the prey refuge constant as a parameter, we analyze the stability of …

In this paper, we consider a Holling type II predator–prey system with prey refuge, Allee
effect, fear effect and time delay. The existence and stability of the equilibria of the system …

The robustness of dynamical systems against external perturbations is crucial in
engineering; however, it is often overlooked for the lack of methods for rapidly computing it …

In this paper, the dynamics of a fractional-order Leslie-Gower model with Allee effect in
predator is investigated. Firstly, we determine the existing condition and local stability of all …

This paper proposes a novel method for predicting the presence of saddle-node bifurcations
in dynamical systems. The method exploits the effect that saddle-node bifurcations have on …

In this manuscript, we consider temporal and spatio-temporal modified Holling–Tanner
predator-prey models with predator-prey growth rate as a logistic type, Holling type II …