Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Costly defense traits in structured populations   We propose a model for the dynamics of frequencies of a costly defense trait.
More precisely, we consider Lotka-Volterra-type models involving a prey (or
host) population consisting of two types and a predator (or parasite)
population, where one type of prey individuals - modeling carriers of a defense
trait - is more effective in defending against the predators but has a weak
reproductive disadvantage. Under certain assumptions we prove that the relative
frequency of these defenders in the total prey population converges to
spatially structured Wright-Fisher diffusions with frequency-dependent
migration rates. For the many-demes limit (mean-field approximation) hereof, we
show that the defense trait goes to fixation/extinction if and only if the
selective disadvantage is smaller/larger than an explicit function of the
ecological model parameters.

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The categories of this paper are: stat
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th