Abstract
We introduce spatially explicit stochastic processes to model multispecies host-symbiont interactions. The host enüironment is static, modeled by the infinite percolation cluster of site percolation. Symbionts eüolüe on the infinite cluster through contact or üoter type interactions, where each host may be infected by a colony of symbionts. In the presence of a single symbiont species, the condition for inüasion as a function of the density of the habitat of hosts and the maximal size of the colonies is inüestigated in details. In the presence of multiple symbiont species, it is proüed that the community of symbionts clusters in two dimensions whereas symbiont species may coexist in higher dimensions.
Original language | English (US) |
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Pages (from-to) | 1215-1252 |
Number of pages | 38 |
Journal | Annals of Applied Probability |
Volume | 21 |
Issue number | 4 |
DOIs | |
State | Published - Aug 2011 |
Keywords
- Branching random walks
- Component community
- Contact process
- Host
- Infracommunity
- Infrapopulation
- Logistic growth
- Metapopulation
- Random walks
- Site percolation
- Symbiont
- Üoter model
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty