Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
Mathematical modelling of natural phenomena, Tome 1 (2006) no. 1, pp. 63-80
Cet article a éte moissonné depuis la source EDP Sciences
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.
@article{10_1051_mmnp:2006004,
author = {S. Genieys and V. Volpert and P. Auger},
title = {Pattern and {Waves} for a {Model} in {Population} {Dynamics} with {Nonlocal} {Consumption} of {Resources}},
journal = {Mathematical modelling of natural phenomena},
pages = {63--80},
year = {2006},
volume = {1},
number = {1},
doi = {10.1051/mmnp:2006004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006004/}
}
TY - JOUR AU - S. Genieys AU - V. Volpert AU - P. Auger TI - Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources JO - Mathematical modelling of natural phenomena PY - 2006 SP - 63 EP - 80 VL - 1 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006004/ DO - 10.1051/mmnp:2006004 LA - en ID - 10_1051_mmnp:2006004 ER -
%0 Journal Article %A S. Genieys %A V. Volpert %A P. Auger %T Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources %J Mathematical modelling of natural phenomena %D 2006 %P 63-80 %V 1 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006004/ %R 10.1051/mmnp:2006004 %G en %F 10_1051_mmnp:2006004
S. Genieys; V. Volpert; P. Auger. Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources. Mathematical modelling of natural phenomena, Tome 1 (2006) no. 1, pp. 63-80. doi: 10.1051/mmnp:2006004
Cité par Sources :