Clustering, advection, and patterns in a model of population dynamics with neighborhood-dependent rates
Clustering, advection, and patterns in a model of population dynamics with neighborhood-dependent rates
We introduce a simple model of population dynamics which considers reproducing individuals or particles with birth and death rates depending on the number of other individuals in their neighborhood. The model shows an inhomogeneous quasistationary pattern with many different clusters of particles arranged periodically in space. We derive the equation …