Allee effect that refers to a positive relationship between individual fitness and population
density provides an important conceptual framework in conservation biology. While …

In recent years, predator–prey systems have increased their applications and have given
rise to systems which represent more accurately different biological issues that appear in the …

In the present, ecologists generally consider the interactions, which are directly related to the
density effects, that species have on each other, like predation, mutualism, refuge, etc …

In this paper, we prove the global boundedness and stability of the predator–prey system
with prey-taxis in a two-dimensional bounded domain with Neumann boundary conditions …

This paper proves the global existence and boundedness of solutions to a general reaction–
diffusion predator–prey system with prey-taxis defined on a smooth bounded domain with no …

The dynamics of a reaction–diffusion predator–prey system with strong Allee effect in the
prey population is considered. Nonexistence of nonconstant positive steady state solutions …

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

The transition between strong and weak Allee effects in prey provides a simple regime shift
in ecology. In this paper, we study the interplay between the functional response of Holling …

Understanding how tipping points arise is critical for population protection and ecosystem
robustness. This work evaluates the impact of environmental stochasticity on the emergence …

The interactions of diffusion-driven Turing instability and delayinduced Hopf bifurcation
always give rise to rich spatiotemporal dynamics. In this paper, we first derive the algorithm …