Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bessel-like birth-death process   We consider models of the population or opinion dynamics which result in the
non-linear stochastic differential equations (SDEs) exhibiting the spurious
long-range memory. In this context, the correspondence between the description
of the birth-death processes as the continuous-time Markov chains and the
continuous SDEs is of high importance for the alternatives of modeling. We
propose and generalize the Bessel-like birth-death process having clear
representation by the SDEs. The new process helps to integrate the alternatives
of description and to derive the equations for the probability density function
(PDF) of the burst and inter-burst duration of the proposed continuous time
birth-death processes.

31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom