Coexistence for a multitype contact process with seasons

Details Coexistence for a multitype contact process with seasons Coexistence for a multitype contact process with seasons

2009-10-21

arxiv.org/abs/0910.4014v1

Annals of Applied Probability 2009, Vol. 19, No. 5, 1921-1943

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/09-AAP599 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/09-AAP599

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 time-homogeneous multitype contact process for which the species with the higher birth rate outcompetes the other species when the death rates are equal.

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