IEEE Transactions on Computational Social Systems,
Год журнала:
2024,
Номер
11(3), С. 4267 - 4278
Опубликована: Фев. 2, 2024
Simplicial
complexes
successfully
resolve
the
limitation
of
social
networks
to
describe
spread
infectious
diseases
in
group
interactions.
However,
effects
quarantines
context
interactions
remain
largely
unaddressed.
In
this
article,
we
therefore
propose
a
susceptible-infectious-quarantine-
recovered-susceptible
(SIQRS)
model
with
and
study
its
evolution
on
simplicial
complexes.
model,
fraction
infected
individuals
is
subject
quarantine,
but
leaving
quarantine
may
still
be
contagious.
Using
mean-field
(MF)
methods,
derive
propagation
threshold
steady
state
infection
densities
as
well
conditions
for
their
stability.
Numerical
simulations
moreover
show
that
longer
times
higher
ratios
tend
disrupt
discontinuous
phase
transition
bistable
phenomena
are
commonly
due
Additionally,
when
epidemic
outbreaks
recurrent,
although
measures
can
reduce
peak
first
wave
delay
onset
future
waves,
they
also
lead
an
increase
subsequent
densities.
This
highlights
need
prepare
sufficient
resources
deal
periodic
infections
after
initial
over.
Journal of The Royal Society Interface,
Год журнала:
2022,
Номер
19(188)
Опубликована: Март 1, 2022
Network
science
has
evolved
into
an
indispensable
platform
for
studying
complex
systems.
But
recent
research
identified
limits
of
classical
networks,
where
links
connect
pairs
nodes,
to
comprehensively
describe
group
interactions.
Higher-order
a
link
can
more
than
two
have
therefore
emerged
as
new
frontier
in
network
science.
Since
interactions
are
common
social,
biological
and
technological
systems,
higher-order
networks
recently
led
important
discoveries
across
many
fields
research.
Here,
we
review
these
works,
focusing
particular
on
the
novel
aspects
dynamics
that
emerges
networks.
We
cover
variety
dynamical
processes
thus
far
been
studied,
including
different
synchronization
phenomena,
contagion
processes,
evolution
cooperation
consensus
formation.
also
outline
open
challenges
promising
directions
future
Chaos An Interdisciplinary Journal of Nonlinear Science,
Год журнала:
2022,
Номер
32(1)
Опубликована: Янв. 1, 2022
Higher-order
interactions
might
play
a
significant
role
in
the
collective
dynamics
of
brain.
With
this
motivation,
we
here
consider
simplicial
complex
neurons,
particular,
studying
effects
pairwise
and
three-body
on
emergence
synchronization.
We
assume
to
be
mediated
through
electrical
synapses,
while
for
second-order
interactions,
separately
study
diffusive
coupling
nonlinear
chemical
coupling.
For
all
considered
cases,
derive
necessary
conditions
synchronization
by
means
linear
stability
analysis,
compute
errors
numerically.
Our
research
shows
that
even
if
weak
strength,
can
lead
under
significantly
lower
first-order
strengths.
Moreover,
overall
cost
is
reduced
due
introduction
compared
interactions.
Nature Communications,
Год журнала:
2023,
Номер
14(1)
Опубликована: Март 23, 2023
Abstract
Higher-order
networks
have
emerged
as
a
powerful
framework
to
model
complex
systems
and
their
collective
behavior.
Going
beyond
pairwise
interactions,
they
encode
structured
relations
among
arbitrary
numbers
of
units
through
representations
such
simplicial
complexes
hypergraphs.
So
far,
the
choice
between
hypergraphs
has
often
been
motivated
by
technical
convenience.
Here,
using
synchronization
an
example,
we
demonstrate
that
effects
higher-order
interactions
are
highly
representation-dependent.
In
particular,
typically
enhance
in
but
opposite
effect
complexes.
We
provide
theoretical
insight
linking
synchronizability
different
hypergraph
structures
(generalized)
degree
heterogeneity
cross-order
correlation,
which
turn
influence
wide
range
dynamical
processes
from
contagion
diffusion.
Our
findings
reveal
hidden
impact
on
dynamics,
highlighting
importance
choosing
appropriate
when
studying
with
nonpairwise
interactions.
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences,
Год журнала:
2022,
Номер
478(2261)
Опубликована: Май 1, 2022
Simplicial
complexes
describe
the
simple
fact
that
in
social
networks
a
link
can
connect
more
than
two
individuals.
As
we
show
here,
this
has
far-reaching
consequences
for
epidemic
spreading,
particular
context
of
multilayer
network
model,
where
one
layer
is
virtual
and
other
physical
contact
network.
The
responsible
transmission
information
via
pairwise
or
higher
order
2-simplex
interactions
among
individuals,
while
spreading.
We
use
microscopic
Markov
chain
approach
to
derive
probability
transition
equations
determine
outbreak
thresholds.
further
support
these
results
with
Monte
Carlo
simulations,
which
are
good
agreement,
thus
confirming
analytical
tractability
proposed
model.
find
rates
frequently
low
when
actual
disease
medium,
be
mitigated
effectively
by
introducing
relative
ease
higher-order
means
could
exploited
inhibit
outbreaks.
Communications Physics,
Год журнала:
2022,
Номер
5(1)
Опубликована: Апрель 5, 2022
Abstract
A
deluge
of
new
data
on
real-world
networks
suggests
that
interactions
among
system
units
are
not
limited
to
pairs,
but
often
involve
a
higher
number
nodes.
To
properly
encode
higher-order
interactions,
richer
mathematical
frameworks
such
as
hypergraphs
needed,
where
hyperedges
describe
an
arbitrary
Here
we
systematically
investigate
motifs,
defined
small
connected
subgraphs
in
which
vertices
may
be
linked
by
any
order,
and
propose
efficient
algorithm
extract
complete
motif
profiles
from
empirical
data.
We
identify
different
families
hypergraphs,
characterized
distinct
connectivity
patterns
at
the
local
scale.
also
set
measures
study
nested
structure
provide
evidences
structural
reinforcement,
mechanism
associates
strengths
for
nodes
interact
more
pairwise
level.
Our
work
highlights
informative
power
providing
principled
way
fingerprints
network
microscale.
