Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mitigating Biological Epidemic on Heterogeneous Social Networks   Recent Covid-19 pandemic has demonstrated the need of efficient epidemic
outbreak management. We study the optimal control problem of minimizing the
fraction of infected population by applying vaccination and treatment control
strategies, while at the same time minimizing the cost of implementing them. We
model the epidemic using the degree based Susceptible-Infected-Recovered (SIR)
compartmental model. We study the impact of varying network topologies on the
optimal epidemic management strategies and present results for the Erdos-Renyi,
scale free, and real world networks. For efficient computational modeling we
form groups of groups of degree classes, and apply separate vaccination and
treatment control signals to each group. This allows us to identify the degree
classes that play a significant role in mitigating the epidemic for a given
network topology. We compare the optimal control strategy with non optimal
strategies (constant control and no control) and study the effect of various
model parameters on the system. We identify which strategy
(vaccination/treatment) plays a significant role in controlling the epidemic on
different network topologies. We also study the effect of the cost of
vaccination and treatment controls on the resource allocation. We find that the
optimal strategy achieves significant improvements over the non optimal
heuristics for all networks studied in this paper. Our results may be of
interest to governments and healthcare authorities for devising effective
vaccination and treatment campaigns during an epidemic outbreak.

4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th