Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Population switching under a time-varying environment   We examine the switching dynamics of a stochastic population subjected to a
deterministically time-varying environment. Our approach is demonstrated in the
realm of ecology on a problem of population establishment. Here, by assuming a
constant immigration pressure along with a strong Allee effect, at the
deterministic level one obtains a critical population size beyond which the
system experiences establishment. Notably the latter has been shown to be
strongly influenced by the interplay between demographic and environmental
noise. We consider two prototypical examples for environmental variations: a
temporary environmental change, and a periodically-varying environment. By
employing a semi-classical approximation we compute, within exponential
accuracy, the change in the establishment probability and mean establishment
time of the population, due to the environmental variability. Our analytical
results are verified by using a modified Gillespie algorithm which accounts for
explicitly time-dependent reaction rates. Finally, our theoretical approach can
also be useful in studying switching dynamics in gene regulatory networks under
extrinsic variations.

6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas