Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contact and voter processes on the infinite percolation cluster as
  models of host-symbiont interactions   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.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg