Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spreading processes in "post-epidemic" environments. II. Safety patterns
  on scale-free networks   This paper continues our previous study on spreading processes in
inhomogeneous populations consisting of susceptible and immune individuals [V.
Blavatska, Yu. Holovatch, Physica A 573, 125980 (2021)]. A special role in such
populations is played by "safety patterns" of susceptible nodes surrounded by
the immune ones. Here, we analyze spreading on scale-free networks, where the
distribution of node connectivity $k$ obeys a power-law decay $\sim
k^{-\lambda}$. We assume, that only a fraction $p$ of individual nodes can be
affected by spreading process, while remaining $1-p$ are immune. We apply the
synchronous cellular automaton algorithm and study the stationary states and
spatial patterning in SI, SIS and SIR models in a range $2 < \lambda < 3 $. Two
immunization scenarios, the random immunization and an intentional one, that
targets the highest degrees nodes are considered. A distribution of safety
patterns is obtained for the case of both scenarios. Estimates for the
threshold values of the effective spreading rate $\beta_c$ as a function of
active agents fraction $p$ and parameter $\lambda$ are obtained and efficiency
of both vaccination techniques are analyzed quantitatively. The impact of the
underlying network heterogeneous structure is manifest e.g. in decreasing the
$\beta_c$ values within the random scenario as compared to corresponding values
in the case of regular latticek. This result quantitatively confirms the
compliency of scale-free networks for disease spreading. On contrary, the
vaccination within the targeted scenario makes the complex networks much more
resistant to epidemic spreading as compared with regular lattice structures.

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The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ