Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-21T09:10:15.572Z Has data issue: false hasContentIssue false
  • English
  • Français

Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption ofResources

Published online by Cambridge University Press:  15 May 2008

S. Genieys ,
V. Volpert  and
P. Auger
S. Genieys*
Affiliation:
Camille Jordan Institute of Mathematics, UMR 5208 CNRS, University Lyon 1 69622 Villeurbanne, France
V. Volpert
Affiliation:
Camille Jordan Institute of Mathematics, UMR 5208 CNRS, University Lyon 1 69622 Villeurbanne, France
P. Auger
Affiliation:
Institute of Research and Development, 93143 Bondy, France
*
genieys@math.univ-lyon1.fr
Get access

Abstract

We study a reaction-diffusion equationwith an integral term describing nonlocal consumption of resourcesin population dynamics. We show that a homogeneous equilibrium canlose its stability resulting in appearance of stationary spatialstructures. They can be related to the emergence of biologicalspecies due to the intra-specific competition and randommutations. Various types of travelling waves are observed.

Keywords

integro-differential equationspatterns and wavesevolution
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 1 , Issue 1: Population dynamics , 2006 , pp. 63 - 80
Copyright
© EDP Sciences, 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)