Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effect of immigrant communities coming from higher incidence
  tuberculosis regions to a host country   We introduce a new tuberculosis (TB) mathematical model, with $25$
state-space variables where $15$ are evolution disease states (EDSs), which
generalises previous models and takes into account the (seasonal) flux of
populations between a high incidence TB country (A) and a host country (B) with
low TB incidence, where (B) is divided into a community (G) with high
percentage of people from (A) plus the rest of the population (C). Contrary to
some beliefs, related to the fact that agglomerations of individuals increase
proportionally to the disease spread, analysis of the model shows that the
existence of semi-closed communities are beneficial for the TB control from a
global viewpoint. The model and techniques proposed are applied to a case-study
with concrete parameters, which model the situation of Angola (A) and Portugal
(B), in order to show its relevance and meaningfulness. Simulations show that
variations of the transmission coefficient on the origin country has a big
influence on the number of infected (and infectious) individuals on the
community and the host country. Moreover, there is an optimal ratio for the
distribution of individuals in (C) versus (G), which minimizes the reproduction
number $R_0$. Such value does not give the minimal total number of infected
individuals in all (B), since such is attained when the community (G) is
completely isolated (theoretical scenario). Sensitivity analysis and curve
fitting on $R_0$ and on EDSs are pursuit in order to understand the TB effects
in the global statistics, by measuring the variability of the relevant
parameters. We also show that the TB transmission rate $\beta$ does not act
linearly on $R_0$, as is common in compartment models where system feedback or
group interactions do not occur. Further, we find the most important parameters
for the increase of each EDS.

14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph