In this paper, we show that under suitable simple assumptions the classical two populations
system may exhibit unexpected behaviors. Considering a more elaborated social model, in …

Global bifurcation analysis of a class of general predator–prey models with a strong Allee
effect in prey population is given in details. We show the existence of a point-to-point …

Recently, ratio-dependent predator-prey systems have been regarded by some researchers
to be more appropriate for predator-prey interactions where predation involves serious …

There is a growing body of evidence supporting implementation of ratio-dependent
functional response of predators in ecological models. Those models often provide a …

In this article, we propose and analyse a predator-prey model where apart from direct
predation the prey population is affected by the fear induced from predators. The …

The ratio-dependent predator-prey model exhibits rich interesting dynamics due to the
singularity of the origin. The objective of this paper is to study the dynamical properties of the …

The use of predator–prey models in theoretical ecology has a long history, and the model
equations have largely evolved since the original Lotka–Volterra system towards more …

Global analysis of the predator–prey system with Beddington–DeAngelis functional response
Page 1 J. Math. Anal. Appl. 281 (2003) 395–401 www.elsevier.com/locate/jmaa Note Global …

In this paper, we systematically study the dynamics of a nonautonomous predator–prey
system with the Beddington–DeAngelis functional response. The explorations involve the …

This paper deals with the problem of a ratio-dependent predator–prey model. The
deterministic and stochastic behaviour of the model system around biologically feasible …