Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis and control of pre-extinction dynamics in stochastic
  populations   We consider a stochastic population model where the intrinsic or demographic
noise causes cycling between states before the population eventually goes
extinct. A master equation approach coupled with a WKB
(Wentzel-Kramers-Brillouin) approximation is used to construct the optimal path
to extinction. In addition, a probabilistic argument is used to understand the
pre-extinction dynamics and approximate the mean time to extinction. Analytical
results agree well with numerical Monte Carlo simulations. A control method is
implemented to decrease the mean time to extinction. Analytical results
quantify the effectiveness of the control and agree well with numerical
simulations.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol