In the present study, we have proposed two mathematical models for predator-prey
interactions incorporating prey refuge having significant role in curbing the dynamical …

A two species obligate commensal symbiosis model with Crowley–Martin functional
response was proposed and studied in this paper. For an autonomous case, local and …

This study aims to thoroughly investigate the dynamics of a predator–prey model with a
Beddington-De Angelis functional response. We assume that the prey refuge is proportional …

In this article, a Leslie-Gower type predator prey model with fear effect has been proposed
and studied in the framework of fractional calculus in Caputo sense. The well-posedness of …

In this paper, we focus on the asymptotic and transient dynamics of the studied ecosystem
and measure the response to perturbation of the stochastic ratio-dependent predator–prey …

The biological system relies heavily on the interaction between prey and predator. Infections
may spread from prey to predators or vice versa. This study proposes a virus-controlled prey …

In this paper, we investigate the stability of equilibrium in the stage-structured and density-
dependent predator–prey system with Beddington–DeAngelis functional response. First, by …

This research proposes a mathematical model to investigate the dynamical behavior of the
system of three species, namely prey, predator and top predator. The feeding behavior of …

A modified Leslie-Gower predator-prey model with a Beddington-DeAngelis functional
response is proposed and studied. The purpose is to examine the effects of fear and …

This paper is devoted to investigating the Hopf bifurcation of a three-dimensional quadratic
jerk system. The stability of the singular points, the appearance of the Hopf bifurcation and …