Coexistence for a multitype contact process with seasons
Ben Chan, Rick Durrett and Nicolas Lanchier
Abstract.
We introduce a multitype contact process with temporal heterogeneity
involving two species competing for space on the d-dimensional integer
lattice. Time is divided into seasons called alternately season 1 and season
2. We prove that there is an open set of the parameters for which both
species can coexist when their dispersal range is large enough. Numerical
simulations also suggest that three species can coexist in the presence
of two seasons. This contrasts with the long-term behavior of the timehomogeneous
multitype contact process for which the species with the
higher birth rate outcompetes the other species when the death rates are
equal.
Preprint
Back to Durrett's home page