Mathematics,
Год журнала:
2023,
Номер
12(1), С. 14 - 14
Опубликована: Дек. 20, 2023
The
world
has
been
fighting
against
the
COVID-19
Coronavirus
which
seems
to
be
constantly
mutating.
present
wave
of
illness
is
caused
by
Omicron
variant
coronavirus.
vaccines
five
variants
(α,
β,
γ,
δ,
and
ω)
have
quickly
developed
using
mRNA
technology.
efficacy
vaccine
for
one
strains
not
same
as
other
strains.
In
this
study,
a
mathematical
model
spread
was
made
considering
asymptomatic
population,
symptomatic
two
infected
populations
quarantined
population.
An
analysis
basic
reproduction
numbers
next-generation
matrix
method.
Global
asymptotic
stability
Lyapunov
theory
measure
stability,
showing
an
equilibrium
point’s
examining
with
fact
in
Thailand.
Moreover,
sensitivity
values
verify
parameters
affecting
spread.
It
found
that
most
common
parameter
initial
number
Optimal
control
problems
social
distancing
strategies
conjunction
mask-wearing
vaccination
were
determined
find
give
better
disease.
Lagrangian
Hamiltonian
functions
employed
determine
objective
function.
Pontryagin’s
maximum
principle
existence
optimal
control.
According
use
able
achieve
rather
than
controlling
just
or
another.
Results in Physics,
Год журнала:
2021,
Номер
26, С. 104433 - 104433
Опубликована: Июнь 9, 2021
We
propose
and
study
an
epidemiological
model
on
a
social
network
that
takes
into
account
heterogeneity
of
the
population
different
vaccination
strategies.
In
particular,
we
how
COVID-19
epidemics
evolves
it
is
contained
by
scenarios
taking
data
showing
older
people,
as
well
individuals
with
comorbidities
poor
metabolic
health,
people
coming
from
economically
depressed
areas
lower
quality
life
in
general,
are
more
likely
to
develop
severe
symptoms,
quicker
loss
immunity
therefore
prone
reinfection.
Our
results
reveal
structure
spatial
arrangement
subpopulations
important
determinants.
healthier
society
disease
spreads
rapidly
but
consequences
less
disastrous
prevalent
chronic
comorbidities.
If
health
segregated
within
one
community,
epidemic
outcome
favorable.
Moreover,
show
that,
contrary
currently
widely
adopted
policies,
prioritizing
elderly
other
higher-risk
groups
beneficial
only
if
supply
vaccine
high.
If,
however,
availability
limited,
demographic
distribution
across
homogeneous,
better
outcomes
achieved
healthy
vaccinated
first.
Only
when
segregated,
like
homes,
their
prioritization
will
lead
related
deaths.
Accordingly,
young
should
view
uptake
not
protecting
them,
perhaps
even
so
vulnerable
socio-demographic
groups.
Journal of the Nigerian Society of Physical Sciences,
Год журнала:
2024,
Номер
unknown, С. 1830 - 1830
Опубликована: Март 27, 2024
This
study
underscores
the
crucial
role
of
COVID-19
vaccinations
in
managing
pandemic,
with
a
specific
focus
on
Nigeria.
Employing
fractional-order
mathematical
modeling
approach,
research
assesses
vaccination
efficacy,
minimum
effectiveness,
and
duration.
The
model’s
numerical
solution
is
derived
through
Laplace
Adomian
Decomposition
Method
(LADM),
utilizing
rapidly
converging
infinite
series.
Simulation
results
illustrate
impact
transmission
rates.
concludes
that
implementing
strategy
an
integer
order
proves
to
be
most
effective
approach
controlling
spread
COVID-19.
These
findings
have
significant
implications
for
researchers,
policymakers,
healthcare
workers.
They
emphasize
central
fractional
calculus
facilitating
vaccine
implementation
ongoing
battle
against
calls
global
efforts
maximize
overall
benefit
public
health.
Applied Mathematics in Science and Engineering,
Год журнала:
2023,
Номер
31(1)
Опубликована: Фев. 7, 2023
In
this
paper,
an
optimal
control
model
for
the
transmission
dynamics
of
COVID-19
is
investigated.
We
established
important
properties
like
nonnegativity
and
boundedness
solutions,
also
region
invariance.
Further,
expression
basic
reproduction
number
computed
its
sensitivity
w.r.t
parameters
carried
out
to
identify
most
sensitive
parameter.
Based
on
analysis,
strategies
were
presented
reduce
disease
burden
related
costs.
It
demonstrated
that
does
exist
unique.
The
characterization
trajectories
analytically
studied
via
Pontryagin's
Minimum
Principle.
Moreover,
various
simulations
performed
support
analytical
results.
simulation
results
showed
proposed
controls
significantly
influence
compared
absence
cases.
it
reveals
applied
are
effective
throughout
intervention
period
in
reducing
diseases
community.
Besides,
suggested
concurrently
applying
all
controlling
outperform
mitigating
spread
any
other
preventive
measures.
This
study
introduces
a
novel
approach
to
comprehensively
understand
and
combat
malaria
transmission.
A
mathematical
model
is
developed
validated
using
real-world
data.
It
delves
into
various
facets
of
transmission
dynamics,
including
the
malaria-free
equilibrium,
stability,
parameter
estimation,
basic
reproduction
number.
Sensitivity
analysis
uncovers
key
factors,
three-dimensional
plots
aid
in
visualizing
impacts
on
The
vital
link
between
severe
brain
disorders
explored
through
comprehensive
review
existing
literature
case
studies,
emphasizing
critical
necessity
for
effective
disease
management.
To
address
this
issue,
control
strategies
like
awareness
initiatives,
application
advanced
nanotechnology
precise
diagnosis
treatment,
mosquito
population
regulation
are
devised
analyzed
graphically,
offering
insights
developing
eradication
policies.
COVID-19
is
a
novel
virus
that
has
spread
globally,
and
governments
around
the
world
often
implement
different
strategies
to
prevent
its
spread.
In
literature,
several
models
have
been
studied
with
bilinear
incident
rate.
this
study,
S1V1E1I1Q1R1
(susceptible-vaccinated-exposed-infective-quarantined-recovered)
model
proposed.
To
investigate
how
disease
spreads
in
population,
an
algorithm
used.
The
efficacy
of
used
calculate
disease-free
equilibrium
point.
A
next
generation
matrix
technique
find
R0.
Furthermore,
check
effect
parameters
on
basic
reproduction
number
(R0),
sensitivity
analysis
conducted.
Numerical
simulation
displays
population
by
increasing
value
contact
rate
β
while
reduces
vaccination
θ,
quarantine
ϕ,
recovery
γ.
Different
optimal
control
strategies,
such
as
social
distance
quick
isolation,
are
also
implemented.
BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN,
Год журнала:
2025,
Номер
19(1), С. 511 - 524
Опубликована: Янв. 13, 2025
Drug
abuse
poses
significant
challenges
to
public
health
and
socio-economic
stability
worldwide.
Narcotics,
which
are
psychotropic
compounds,
typically
used
for
treating
specific
medical
conditions.
Currently,
many
individuals
drugs
outside
of
the
function
treatment.
This
misuse
leads
central
nervous
system
disorders,
resulting
in
mental
behavioral
issues.
In
this
article,
we
discuss
a
fractional-order
mathematical
model
transmission
drug
users
with
α∈
(0,1].
We
employ
differential
equations
using
Caputo
derivative
approach
dynamics.
analyze
local
drug-free
endemic
equilibrium
points
calculate
basic
reproduction
number
().
Our
analysis
indicates
that
is
locally
asymptotically
stable
when
,
while
.
implement
numerical
scheme
simulate
model,
illustrating
theoretical
findings.
