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Journal Articles Journal of Mathematical Biology Year : 2012

Evolution of species trait through resource competition


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



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⟩
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