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October 2009 Coexistence for a multitype contact process with seasons
B. Chan, R. Durrett, N. Lanchier
Ann. Appl. Probab. 19(5): 1921-1943 (October 2009). DOI: 10.1214/09-AAP599

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 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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B. Chan. R. Durrett. N. Lanchier. "Coexistence for a multitype contact process with seasons." Ann. Appl. Probab. 19 (5) 1921 - 1943, October 2009. https://doi.org/10.1214/09-AAP599

Information

Published: October 2009
First available in Project Euclid: 16 October 2009

zbMATH: 1206.60090
MathSciNet: MR2569812
Digital Object Identifier: 10.1214/09-AAP599

Subjects:
Primary: 60K35

Keywords: Coexistence , competition model , time-heterogeneous multitype contact process

Rights: Copyright © 2009 Institute of Mathematical Statistics

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Vol.19 • No. 5 • October 2009
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