Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic epidemic-type model with enhanced connectivity: exact
  solution   We present an exact analytical solution to a one-dimensional model of the
Susceptible-Infected-Recovered (SIR) epidemic type, with infection rates
dependent on nearest-neighbor occupations. We use a quantum mechanical
approach, transforming the master equation via a quantum spin operator
formulation. We calculate exactly the time-dependent density of infected,
recovered and susceptible populations for random initial conditions, and
compare our results with a low connectivity SIR model reported by Schuetz et
al.. Our results compare well to those of previous work, validating the model
as a useful tool for additional and extended studies in this important area.
Our model also provides exact solutions for the n-point correlation functions,
and can be extended to more complex epidemic type models.

25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci