S. Génieys, V. Volpert, P. Auger
tlooto Summary
It is shown that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures, which can be related to the emergence of biological species due to the intra-specific competition and random mutations.
Abstract
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.
Citation format
GÉNIEYS, S.; VOLPERT, V.; AUGER, P. Pattern and waves for a model in population dynamics with nonlocal consumption of resources. Mathematical Modelling of Natural Phenomena, 2006, 1: 63–80.