Clustering, advection and patterns in a model of population dynamics
with neighborhood-dependent rates.
Talk
Cristobal Lopez
10 de desembre de 2003 a les 14:30
Sala de Juntes, Ed. Mateu Orfila
We introduce a simple model of population dynamics which considers birth and death rates for every individual that depend on the number of particles in its neighborhood. The model shows an inhomogeneous quasistationary pattern with many different clusters of particles. We derive the equation for the macroscopic density of particles, perform a linear stability analysis on it, and show that there is a finite-wavelength instability leading to pattern formation. This is the responsible for the approximate periodicity with which the clusters of particles arrange in the microscopic model. In addition, we consider the population when immersed in a fluid medium and analyze the influence of advection on global properties of the model
Aquesta web utilitza cookies per a la recollida de dades amb un propòsit estadístic. Si continues navegant, vol dir que acceptes la instal·lació de la cookie.