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Chan, B.; Durrett, R.; Lanchier, N.

Coexistence for a multitype contact process with seasons. (English) Zbl 1206.60090

Ann. Appl. Probab. 19, No. 5, 1921-1943 (2009).
The paper deals with a multitype contact process with temporal heterogeneity involving two species competing for space on the \(d\)-dimensional integer lattice. Time is divided into two alternative seasons. The authors prove that there is an open set of the parameters, for which 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.
Reviewer: Anatoliy Pogorui (Zhytomyr)

Cited in 1 Document

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory

Keywords:

coexistence; competition model; time-heterogeneous multitype contact process
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\textit{B. Chan} et al., Ann. Appl. Probab. 19, No. 5, 1921--1943 (2009; Zbl 1206.60090)
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