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

Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions