Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controlling infectious diseases: the decisive phase effect on a seasonal
  vaccination strategy   The study of epidemiological systems has generated deep interest in exploring
the dynamical complexity of common infectious diseases driven by seasonally
varying contact rates. Mathematical modeling and field observations have shown
that, under seasonal variation, the incidence rates of some endemic infectious
diseases fluctuate dramatically and the dynamics is often characterized by
chaotic oscillations in the absence of specific vaccination programs. In fact,
the existence of chaotic behavior has been precisely stated in the literature
as a noticeable feature in the dynamics of the classical
Susceptible-Infected-Recovered (SIR) seasonally forced epidemic model. However,
in the context of epidemiology, chaos is often regarded as an undesirable
phenomenon associated with the unpredictability of infectious diseases. As a
consequence, the problem of converting chaotic motions into regular motions
becomes particularly relevant. In this article, we consider the phase control
technique applied to the seasonally forced SIR epidemic model to suppress
chaos. Interestingly, this method of controlling chaos takes on a clear meaning
as a weak perturbation on a seasonal vaccination strategy. Numerical
simulations show that the phase difference between the two periodic forces -
contact rate and vaccination - plays a very important role in controlling
chaos.

35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an