Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation of a globally stable equilibrium: application on an
  age-structured model   In this manuscript we consider an age structured epidemic system modelling
the dynamics of transmission of immunizing disease like Hepatitis B virus. Our
model takes into account age as well as two classes of infected individuals
(chronic carriers and acute infected human). Based on the low infectivity of
chronic carriers, we study the asymptotic behavior of the system and, under
some suitable assumptions, we prove the global stability of the endemic
equilibrium point using perturbation arguments of semi-flow. The intuitive
conservation of the global stability under perturbation, needs in fact very
technical tools and complex results.

21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin