Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic dynamics of three competing clones: Conditions and times for
  invasion, coexistence and fixation   In large clonal populations, several clones generally compete which results
in complex evolutionary and ecological dynamics: experiments show successive
selective sweeps of favorable mutations as well as long-term coexistence of
multiple clonal strains. The mechanisms underlying either coexistence or
fixation of several competing strains have rarely been studied altogether.
Conditions for coexistence have mostly been studied by population and community
ecology, while rates of invasion and fixation have mostly been studied by
population genetics. In order to provide a global understanding of the
complexity of the dynamics observed in large clonal populations, we develop a
stochastic model where three clones compete. Competitive interactions can be
intransitive and we suppose that strains enter the population via mutations or
rare immigrations. We first describe all possible final states of the
population, including stable coexistence of two or three strains, or the
fixation of a single strain. Second, we give estimate of the invasion and
fixation times of a favorable mutant (or immigrant) entering the population in
a single copy. We show that invasion and fixation can be slower or faster when
considering complex competitive interactions. Third, we explore the parameter
space assuming prior distributions of reproduction, death and competitive rates
and we estimate the likelihood of the possible dynamics. We show that when
mutations can affect competitive interactions, even slightly, stable
coexistence is likely. We discuss our results in the context of the
evolutionary dynamics of large clonal populations.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math