Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logistic and $\theta$-logistic models in population dynamics: General
  analysis and exact results   In the present paper we provide the closed form of the path-like solutions
for the logistic and $\theta$-logistic stochastic differential equations, along
with the exact expressions of both their probability density functions and
their moments. We simulate in addition a few typical sample trajectories, and
we provide a few examples of numerical computation of the said closed formulas
at different noise intensities: this shows in particular that an increasing
randomness - while making the process more unpredictable - asymptotically tends
to suppress in average the logistic growth. These main results are preceded by
a discussion of the noiseless, deterministic versions of these models: a
prologue which turns out to be instrumental - on the basis of a few simplified
but functional hypotheses - to frame the logistic and $\theta$-logistic
equations in a unified context, within which also the Gompertz model emerges
from an anomalous scaling.

19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc