The model of two species competing for a resource proposed by R. May and AP Shapiro has
not yet been fully explored. We study its dynamic modes. The model reveals complex …

Based on evolutionary game theory and Darwinian evolution, we propose and study
discrete-time competition models of two species where at least one species has an evolving …

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 …

Control theory and stochastic dynamic programming have long been used to develop
optimal single-species management policies. However, most species interact with others …

Population interaction may release poisonous chemicals to inhibit other species' growth in
the ecosystem, especially for the competitive populations. The negative effect of toxic …

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 …

We study the dynamics of the multi-species Ricker model given by the map T: R+ n→ R+ n
defined by T i (x)= xi exp ν i 1−∑ j= 1 n μ ijxj, ν i, μ ij> 0, i, j= 1,…, n. It is known that under …

We develop a notion of monotonicity for maps defined on Euclidean spaces R+ k, of arbitrary
dimension k. This is a geometric approach that extends the classical notion of planar …

Predicting competitive outcomes in communities frequently involves inferences based on
deterministic population models since these provide clear criteria for exclusion (eg R* rule) …

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 …