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

If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

In this paper, the Allee effect is incorporated into a predator–prey model with Holling type II
functional response. Compared with the predator–prey model without Allee effect, we find …

We present four predator–prey models with component Allee effect for predator
reproduction. Using numerical simulation results for our models, we describe how the …

Almost all species are subject to continuous attack by parasites and pathogens. Because
parasites and pathogens tend to have shorter generation times, and often experience …

In this paper, we consider a Leslie-Gower model with weak Allee effect in the prey. By
analysing the dynamics near the origin, we show that both predator and prey will tend to …

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 …

In this paper, we consider a Holling type II predator–prey model incorporating time delay
and Allee effect in prey. We discuss the influence of Allee effect on the logistic equation. By …

In this paper, we study the dynamics of a Lotka–Volterra model with an Allee effect, which is
included in the predator population and has an abstract functional form. We classify the …

Dynamic exploration for a predator-prey biosystem of two species with ratio-dependent
functional response together with the capability for predation by both juvenile and adult …