We investigate the complex behavior and chaos control in a discrete-time prey-predator
model. Taking into account the Leslie-Gower prey-predator model, we propose a discrete …

The stability and bifurcation analysis for a predator–prey system with the nonlinear Michaelis–
Menten type predator harvesting are taken into account. The existence and stability of …

Recent studies demonstrate that the density of prey population is not only affected by direct
killing by the predator, but the fear in prey caused by predator also reduces it by cutting …

The predation strategy for predators and the avoidance strategy of prey are important topics
in ecology and evolutionary biology. Both prey and predators adjust their behaviours in …

The impacts of additional food for predator on the dynamics of a prey-predator model with
prey refuge are investigated. The equilibrium points and their stability behaviours are …

In this work, the dynamics of a predator-prey system considering square root type functional
response for prey herd behaviour and nonlinear prey harvesting has been analyzed. The …

In this study, we consider a fractional prey–predator scavenger model as well as harvesting
by a predator and scavenger. We prove the positivity and boundedness of the solutions in …

In this paper, we introduce a fractional order Leslie–Gower prey–predator model, which
describes interaction between two populations of prey and predator. We determine stability …

Abstract Effects of predator-taxis on the dynamics of a predator–prey model with Michaelis–
Menten type nonlinear harvesting are considered in this paper. Through theoretical analysis …

Here, we explore the complex dynamics of a predator–prey system with a modified Holling
type II functional response and the Allee effect that accounts for a reduced hunting efficiency …