Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: FKPP dynamics mediated by a parent field with a delay   We examine a modification of the Fisher-Kolmogorov-Petrovsky-Piskunov (FKPP)
process in which the diffusing substance requires a parent density field for
reproduction. A biological example would be the density of diffusing spores
(propagules) and the density of a stationary fungus (parent). The parent
produces propagules at a certain rate, and the propagules turn into the parent
substance at another rate. We model this evolution by the FKPP process with
delay, which reflects a finite time typically required for a new parent to
mature before it begins to produce propagules. While the FKPP process with
other types of delays have been considered in the past as a pure mathematical
construct, in our work a delay in the FKPP model arises in a natural science
setting. The speed of the resulting density fronts is shown to decrease with
increasing delay time, and has a non-trivial dependence on the rate of
conversion of propagules into the parent substance. Remarkably, the fronts in
this model are always slower than Fisher waves of the classical FKPP model. The
largest speed is half of the classical value, and it is achieved at zero delay
and when the two rates are matched.

27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys