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