Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge-Based Compartmental Modeling for Infectious Disease Spread Part I:
  An Overview   The primary tool for predicting infectious disease spread and intervention
effectiveness is the mass action Susceptible-Infected-Recovered model of
Kermack and McKendrick. Its usefulness derives largely from its conceptual and
mathematical simplicity; however, it incorrectly assumes all individuals have
the same contact rate and contacts are fleeting. This paper is the first of
three investigating edge-based compartmental modeling, a technique eliminating
these assumptions. In this paper, we derive simple ordinary differential
equation models capturing social heterogeneity (heterogeneous contact rates)
while explicitly considering the impact of contact duration. We introduce a
graphical interpretation allowing for easy derivation and communication of the
model. This paper focuses on the technique and how to apply it in different
contexts. The companion papers investigate choosing the appropriate level of
complexity for a model and how to apply edge-based compartmental modeling to
populations with various sub-structures.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
2
The categories of this paper are: math