English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

To describe population dynamics, it is crucial to take into account jointlyevolution mechanisms and spatial motion. However, the models which includethese both aspects, are not still well-understood. Can we extend the existingresults on type structured populations, to models of populations structured bytype and space, considering diffusion and nonlocal competition betweenindividuals? We study a nonlocal competitive Lotka-Volterra type system,describing a spatially structured population which can be either monomorphic ordimorphic. Considering spatial diffusion, intrinsic death and birth rates,together with death rates due to intraspecific and interspecific competitionbetween the individuals, leading to some integral terms, we analyze the longtime behavior of the solutions. We first prove existence of steady states andnext determine the long time limits, depending on the competition rates and theprincipal eigenvalues of some operators, corresponding somehow to the strengthof traits. Numerical computations illustrate that the introduction of a newmutant population can lead to the long time evolution of the spatial niche.

Influence of a spatial structure on the long time behavior of a competitive Lotka-Volterra type system