Evolution of species trait through resource competition - Archive ouverte HAL Access content directly
Journal Articles Journal of Mathematical Biology Year : 2012

Evolution of species trait through resource competition

Abstract

To understand the evolution of diverse species, theoretical studies using a Lotka-Volterra type direct competition model had shown that concentrated distributions of species in continuous trait space often occurs. However, a more mechanistic approach is preferred because the competitive interaction of species usually occurs not directly but through competition for resource. We consider a chemostat-type model where species consume resource that are constantly supplied. Continuous traits in both consumer species and resource are incorporated. Consumers utilize resource whose trait values are similar with their own. We show that, even when resource-supply has a continuous distribution in trait space, a positive continous distribution of consumer trait is impossible. Self-organized generation of distinct species occurs. We also prove global convergence to the evolutionarily stable distribution.
Fichier principal
Vignette du fichier
chemostat.pdf (332 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-00566888 , version 1 (17-02-2011)

Identifiers

Cite

Sepideh Mirrahimi, Benoît Perthame, Joe Yuichiro Wakano. Evolution of species trait through resource competition. Journal of Mathematical Biology, 2012, 64 (7), pp.1189-1223. ⟨10.1007/s00285-011-0447-z⟩. ⟨hal-00566888⟩
400 View
317 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More