Non-local Interaction Effects on Pattern Formation in Population Dynamics

M. FUENTES; M. N. KUPERMAN; V. M. KENKRE

PHYSICAL REVIEW LETTERS

Año: 2003 vol. 91 p. 1581041 - 1581044

0031-9007

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 thecompetitive 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.