Coupled nonlinear system of reaction–diffusion equations describing multi-component
(species) interactions with heterogeneous coefficients is considered. Finite volume method …

In this paper, a diffusive competition model is formulated by considering the memory-based
diffusions of species in their movement and spatial heterogeneity of the resource. The global …

We propose, analyze and test two novel fully discrete decoupled linearized algorithms for a
nonlinearly coupled reaction–diffusion N-species competition model with harvesting or …

We study a Lotka system describing two competing populations, and each of them chooses
its diffusion strategy as the tendency to have a distribution proportional to a certain positive …

The study considers a directed dynamics reaction-diffusion competition model to study the
density of evolution for a single species population with harvesting effect in a heterogeneous …

The paper is concerned with different types of dispersal chosen by competing species. We
introduce a model with the diffusion-type term∇⋅[a∇(u/P)] which includes some previously …

We study a directed dynamical reaction–diffusion model with no-flux boundary conditions
where two populations interact in a spatial heterogeneous closed environment state. Both …

In this study, we consider a reaction-diffusion competition model describing population
dynamics of two competing species and the interactions between them in a heterogeneous …

The paper explores the influence of harvesting (or culling) on the outcome of the competition
of two species in a spatially heterogeneous environment. The harvesting effort is assumed to …

Analytical modeling of predator–prey systems has shown that specialist natural enemies can
slow, stop and even reverse pest invasions, assuming that the prey population displays a …