COEXISTENCE FOR A MULTITYPE CONTACT PROCESS WITH SEASONS

• 成果类型: Article
• 署名作者: Chan, B.; Durrett, R.; Lanchier, N.
• 署名单位: Cornell University; Arizona State University; Arizona State University-Tempe
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/09-AAP599
• 发表日期: 2009
• 页码: 1921-1943
• 关键词: host-pathogen; MODEL

摘要

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.