Our main objective is to study a Ricker-type competition model of two species. We give a
complete analysis of stability and bifurcation and determine the centre manifolds, as well as …

Keeping in mind the interactions between budmoths and the quality of larch trees located in
the Swiss Alps (a mountain range in Switzerland), a discrete-time model is proposed and …

Under certain analytic and geometric assumptions we show that local sta bility of the
coexistence (positive) fixed point of the planar Ricker competition model implies global …

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 …

We present a survey of new approaches to the investigation of the global dynamics of
discrete dynamical systems or autonomous difference equations. To achieve our objectives …

A survey on the conditions of local stability of fixed points of three‐dimensional discrete
dynamical systems or difference equations is provided. In particular, the techniques for …

Full article: Stability and invariant manifolds of a generalized Beddington host-parasitoid model
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Open problems in some competition models Page 1 OPEN PROBLEMS AND CONJECTURES
Open problems in some competition models Saber Elaydia1 and Rafael Luısb* aDepartment …

We consider continuous triangular maps on IN, where I is a compact interval in the
Euclidean space R. We show, under some conditions, that the orbit of every point in a …

In this paper, we investigate a discrete-time Lotka–Volterra predator–prey model that can
undergo flip bifurcations and Hopf bifurcations by using the centre manifold theorem and …