The pattern formation process is closely associated with a class of reaction-diffusion
problems arising in mathematical biology and chemistry which has generated a lot of …

In this paper, a Leslie-type predator–prey system with simplified Holling type IV functional
response and strong Allee effect on prey is proposed. The dissipativity of the system and the …

In this article, we discuss the dynamics of a Leslie–Gower ratio-dependent predator–prey
model incorporating fear in the prey population. Moreover, the Allee effect in the predator …

The discrete‐time system has more complex and chaotic dynamical behaviors as compared
to the continuous‐time system. This paper extends a discrete Leslie–Gower predator‐prey …

Maturation time delay for the predators is introduced in prey–predator models to implicitly
model the stage-structure of predators. Most of the prey–predator models with maturation …

In this paper, we are concerned with a diffusive predator–prey model where the functional
response follows the predator cooperation in hunting and the growth of the prey obeys the …

Predator foraging facilitation or cooperative hunting increases per predator consumption
rate as predator density increases. This affects predator extinction in a prey–predator …

Studying predator–prey interactions with the help of mathematical modeling is helpful in
understanding the mechanism, making informed decisions about their management and …

Near a tipping point, small changes in a certain parameter cause an irreversible shift in the
behavior of a system, called critical transitions. Critical transitions can be observed in a …

In the context of prey–predator interaction, Allee effect can have a significant impact and
capture the complex dynamics in ecology. In this work, we modify the predator–prey model …