On a New Mechanism of Pattern Formation in Population Dynamics

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dc.creatorGenieys, Stephane
dc.creatorVolpert, Vitaly
dc.creatorAuger, Pierre
dc.date2005-11-28
dc.date.accessioned2026-07-07T06:51:49Z
dc.date.available2026-07-07T06:51:49Z
dc.descriptionWe study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources. We show that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures. It is a new mechanism of pattern formation in population dynamics that can explain emergence of biological species due to intra-specific competition and random mutations.Travelling waves connecting an unstable homogeneous equilibrium and a periodic in space stationary solution are studied numerically.
dc.identifierhttps://arxiv.org/abs/math/0511687
dc.identifierhttp://arxiv.org/abs/math/0511687
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105116
dc.subjectAnalysis of PDEs
dc.subject92D15, 45K05, 35P15
dc.titleOn a New Mechanism of Pattern Formation in Population Dynamics
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