Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Individual and patch behaviour in structured metapopulation models   Density dependent Markov population processes with countably many types can
often be well approximated over finite time intervals by the solution of the
differential equations that describe their average drift, provided that the
total population size is large. They also exhibit diffusive stochastic
fluctuations on a smaller scale about this deterministic path. Here, it is
shown that the individuals in such processes experience an almost deterministic
environment. Small groups of individuals behave almost independently of one
another, evolving as Markov jump processes, whose transition rates are
prescribed functions of time. In the context of metapopulation models, we show
that `individuals' can represent either patches or the individuals that migrate
among the patches; in host--parasite systems, they can represent both hosts and
parasites.

22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph