Speciation as Pattern Formation by Competition in a Smooth Fitness Landscape

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dc.creatorBagnoli, Franco
dc.creatorBezzi, Michele
dc.date1997-08-14
dc.date.accessioned2026-07-07T09:12:03Z
dc.date.available2026-07-07T09:12:03Z
dc.descriptionWe investigate the problem of speciation and coexistence in simple ecosystems when the competition among individuals is included in the Eigen model for quasi-species. By suggesting an analogy between the competition among strains and the diffusion of a chemical inhibitor in a reaction-diffusion system, the speciation phenomenon is considered the analogous of chemical pattern formation in genetic space. In the limit of vanishing mutation rate we obtain analytically the conditions for speciation. Using different forms of the competition interaction we show that the speciation is absent for the genetic equivalent of a normal diffusing inhibitor, and is present for shorter-range interactions. The comparison with numerical simulations is very good.
dc.description12 pages RevTeX + 2 ps figures, submitted to prl
dc.identifierhttps://arxiv.org/abs/cond-mat/9708101
dc.identifierhttp://arxiv.org/abs/cond-mat/9708101
dc.identifierPhys. Rev. Lett. 79, 3302 (1997)
dc.identifierdoi:10.1103/PhysRevLett.79.3302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151892
dc.subjectStatistical Mechanics
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectBiological Physics
dc.subjectQuantitative Biology
dc.titleSpeciation as Pattern Formation by Competition in a Smooth Fitness Landscape
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