Nonlocal interaction effects on pattern formation in population dynamics.
We consider a model for population dynamics such as for the evolution of bacterial colonies which is of the Fisher type but where the competitive interaction among individuals is nonlocal, and show that spatial structures with interesting features emerge. These features depend on the nature of the competitive interaction as well as on its range, specifically on the presence or absence of tails in, and the central curvature of, the influence function of the interaction.
Fuentes
M A
MA
Consortium of the Americas for Interdisciplinary Science and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Kuperman
M N
MN
Kenkre
V M
VM
D001419:Bacteria / Q000254:growth & development; D018407:Bacterial Physiological Phenomena; D008954:Models, Biological; D011157:Population Dynamics