In this paper, we develop several population models with Allee effects. We start by defining
the Allee effect as a phenomenon in which individual fitness increases with increasing …

We investigate the evolutionary outcomes of a single species population subject to Allee
effects within the framework of a continuous strategy evolutionary game theory (EGT) model …

The main objective of this work is to present a general framework for the notion of the strong
Allee effect in population models, including competition, mutualistic, and predator–prey …

In this article, we study the population dynamics of a two-species discrete-time competition
model where each species suffers from either predator saturation induced Allee effects …

We propose a simple discrete-time host–parasitoid model to investigate the impact of
external input of parasitoids upon the host–parasitoid interactions. It is proved that the input …

We introduce and study the notions of multi-transitivity and thick transitivity for non-
autonomous discrete dynamical systems. We obtain a sufficient condition under which in …

ABSTRACT A general notion of the Allee effect for higher dimensional triangular maps is
proposed. A global dynamics theory is established. The theory is applied to multi-species …

In this part of the paper, the theory of nonlinear dynamics of flexible Euler–Bernoulli beams
(the kinematic model of the first-order approximation) under transverse harmonic load and …

We consider a two-species hierarchical competition model with a strong Allee effect. The
Allee effect is assumed to be caused by predator saturation. Moreover, we assume that there …

Our aim in this paper is to investigate the boundedness, the extreme stability, and the
periodicity of positive solutions of the periodically forced Sigmoid Beverton–Holt model …