Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pathogen evolution in switching environments: a hybrid dynamical system
  approach   We propose a hybrid dynamical system approach to model the evolution of a
pathogen that experiences different selective pressures according to a
stochastic process. In every environment, the evolution of the pathogen is
described by a version of the Fisher-Haldane-Wright equation while the
switching between environments follows a Markov jump process. We investigate
how the qualitative behavior of a simple single-host deterministic system
changes when the stochastic switching process is added. In particular, we study
the stability in probability of monomorphic equilibria. We prove that in a
"constantly" fluctuating environment, the genotype with the highest mean
fitness is asymptotically stable in probability. However, if the probability of
host switching depends on the genotype composition of the population,
polymorphism can be stably maintained.
  This is a corrected version of the paper that appeared in Mathematical
Biosciences 240 (2012), p. 70-75. A corrigendum has appeared in the same
journal.

22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol