In nature, different species compete among themselves for common resources and
favorable habitat. Therefore, it becomes really important to determine the key factors in …

Evolutionary-game based models of nonhierarchical, cyclically competing populations have
become paradigmatic for addressing the fundamental problem of species coexistence in …

Investigation of interacting populations is an active area of research, and various modeling
approaches have been adopted to describe their dynamics. Mathematical models of such …

This paper is concerned with the propagation dynamics of the time periodic Lotka-Volterra
competition systems with nonlocal dispersal in a shifting habitat. We first obtain three types …

We investigate the effect of nonlocal intraspecific prey competition on the spatiotemporal
dynamics of a Holling–Tanner predator–prey model with diffusion. We first establish the …

To address how species interactions, dispersal and environmental disturbances interplay to
affect the spatial distribution and diversity of species, we present a compartment model in …

We introduce and analyze a spatial Lotka-Volterra competition model with local and
nonlocal interactions. We study two alternative classes of nonlocal competition that differ in …

We consider a couple of models for the dynamics of the populations of two interacting
species, inspired by Lotka–Volterra's classical equations. The main feature of this work is …

We modify the commonly used invasibility concept for coexistence of species to the stronger
concept of uniform invasibility. For two-species discrete-time competition and predator–prey …

We analyze the existence, stability, and multiplicity ofT-periodic coexistence states for the
classical nonautonomous periodic Lotka–Volterra competing species model. This is done by …