Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Dynamics of Vector-Borne Relapsing Diseases   In this paper we describe the dynamics of a vector-borne relapsing disease,
such as tick-borne relapsing fever, using the methods of compartmental models.
After some motivation, model description, and a brief overview of the theory of
compartmental models, we compute a general form of the reproductive ratio
$R_0$, which is the average number of new infections produced by a single
infected individual. A disease free equilibrium undergoes a bifurcation at $R_0
=1$ and we show that for an arbitrary number of relapses it is a transcritical
bifurcation with a single branch of endemic equilibria that is locally
asymptotically stable for $R_0$ sufficiently close to 1. We close with some
discussion and directions for future research.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol