Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Epidemic processes with vaccination and immunity loss studied with the
  BLUES function method   The Beyond-Linear-Use-of-Equation-Superposition (BLUES) function method is
extended to coupled nonlinear ordinary differential equations and applied to
the epidemiological SIRS model with vaccination. Accurate analytic
approximations are obtained for the time evolution of the susceptible and
infected population fractions. The results are compared with those obtained
with alternative methods, notably Adomian decomposition, variational iteration
and homotopy perturbation. In contrast with these methods, the BLUES iteration
converges rapidly, globally, and captures the exact asymptotic behavior for
long times. The time of the infection peak is calculated using the BLUES
approximants and the results are compared with numerical solutions, which
indicate that the method is able to generate useful analytic expressions that
coincide with the (numerically) exact ones already for a small number of
iterations.

35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph