CONTACT AND VOTER PROCESSES ON THE INFINITE PERCOLATION CLUSTER AS MODELS OF HOST-SYMBIONT INTERACTIONS

被引：16

作者：

Bertacchi, D. ^{[1
]}

Lanchier, N. ^{[2
]}

Zucca, F. ^{[3
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy

[2] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA

[3] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

ANNALS OF APPLIED PROBABILITY | 2011年 / 21卷 / 04期

基金：

美国国家科学基金会;

关键词：

Contact process; voter model; site percolation; logistic growth; branching random walks; random walks; host; symbiont; infrapopulation; metapopulation; infracommunity; component community; STOCHASTIC SPATIAL MODELS; RANDOM-WALKS; PATHOGEN;

D O I：

10.1214/10-AAP734

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We introduce spatially explicit stochastic processes to model multispecies host-symbiont interactions. The host environment is static, modeled by the infinite percolation cluster of site percolation. Symbionts evolve on the infinite cluster through contact or voter type interactions, where each host may be infected by a colony of symbionts. In the presence of a single symbiont species, the condition for invasion as a function of the density of the habitat of hosts and the maximal size of the colonies is investigated in details. In the presence of multiple symbiont species, it is proved that the community of symbionts clusters in two dimensions whereas symbiont species may coexist in higher dimensions.

引用

页码：1215 / 1252

页数：38

共 29 条

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[2]

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[3]

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