Cristóbal López
IMEDEA (CSIC-UIB)
 

A model of interacting random walkers is introduced and shown to give rise to patterns consisting in periodic arrangements of particle clusters. The model represents biological individuals that die or reproduce at rates depending on the number of neighbors within a given distance. A deterministic mean-field description, including a linear stability and a weakly nonlinear analysis, is given and reproduces some of the features of the particle model. Stochasticity in the particle dynamics, however, has strong effects in other aspects of the system behavior.