| Issue |
Math. Model. Nat. Phenom.
Volume 1, Number 1, 2006
Population dynamics
|
|
|---|---|---|
| Page(s) | 63 - 80 | |
| DOI | https://doi.org/10.1051/mmnp:2006004 | |
| Published online | 15 May 2008 | |
Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
1
Camille Jordan Institute of Mathematics, UMR 5208 CNRS, University Lyon 1 69622 Villeurbanne, France
2
Institute of Research and Development, 93143
Bondy, France
Corresponding author: genieys@math.univ-lyon1.fr
We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources in population dynamics. We show that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures. They can be related to the emergence of biological species due to the intra-specific competition and random mutations. Various types of travelling waves are observed.
Mathematics Subject Classification: 92D15 / 35P15 / 47G20
Key words: integro-differential equations / patterns and waves / evolution
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.