Mathematics,
Journal Year:
2023,
Volume and Issue:
12(1), P. 14 - 14
Published: Dec. 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.
Optimal Control Applications and Methods,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Oct. 23, 2024
ABSTRACT
This
article
addresses
an
optimal
control
problem
(OCP)
related
to
the
COVID‐19
vaccination
model.
We
transform
OCP
into
a
nonlinear
programming
(NLP)
by
employing
collocation
method
that
utilizes
shifted
Jacobian
polynomials
(SJPs)
and
their
derivative
operational
matrices.
To
solve
NLP,
we
implement
Coronavirus
Metamorphosis
Optimization
Algorithm
(CMOA),
which
determines
variables
for
,
2,
3,
corresponding
isolation,
efficacy,
treatment
enhancement.
The
CMOA
is
particularly
suitable
concerning
due
its
ability
navigate
complex
challenges
provide
accurate
solutions.
Therefore,
primary
aim
of
this
paper
identify
high‐quality
solution
OCP,
thereby
contributing
development
effective
strategies
managing
pandemic.
Mathematics,
Journal Year:
2024,
Volume and Issue:
12(21), P. 3378 - 3378
Published: Oct. 29, 2024
COVID-19
is
an
enveloped
virus
with
a
single-stranded
RNA
genome.
The
surface
of
the
contains
spike
proteins,
which
enable
to
attach
host
cells
and
enter
interior
cells.
After
entering
cell,
exploits
cell’s
mechanisms
for
replication
dissemination.
Since
end
2019,
has
spread
rapidly
around
world,
leading
large-scale
epidemic.
In
response
pandemic,
global
scientific
community
quickly
launched
vaccine
research
development.
Vaccination
regarded
as
crucial
strategy
controlling
viral
transmission
mitigating
severe
cases.
this
paper,
we
propose
novel
mathematical
model
infection
incorporating
vaccine-induced
immunization
failure.
As
cornerstone
infectious
disease
prevention
measures,
vaccination
stands
most
effective
efficient
curtailing
transmission.
Nevertheless,
even
vaccination,
occurrence
failure
not
uncommon.
This
necessitates
comprehensive
understanding
consideration
effectiveness
in
epidemiological
models
public
health
strategies.
basic
regeneration
number
calculated
by
next
generation
matrix
method,
local
asymptotic
stability
disease-free
equilibrium
point
endemic
are
proven
methods
such
Routh–Hurwitz
criterion
Lyapunov
functions.
Additionally,
conduct
fractional-order
numerical
simulations
verify
that
order
0.86
provides
best
fit
data.
study
sheds
light
on
roles
control.
Scientific Reports,
Journal Year:
2024,
Volume and Issue:
14(1)
Published: Nov. 8, 2024
Understanding
the
dynamics
of
African
swine
fever
virus
during
periods
intense
replication
is
critical
for
effective
combatting
rapid
spread.
In
our
research,
we
have
developed
a
fractional-order
SVEIR
model
using
Caputo
derivatives
to
investigate
this
behaviour.
We
established
existence
and
uniqueness
solution
through
fixed
point
theory
determined
basic
reproduction
number
next-generation
matrix
method.
Our
study
also
involves
an
examination
local
global
stability
disease-free
equilibrium
points.
Additionally,
conducted
optimal
control
analysis
with
two
variables
increase
recovered
pigs
while
reducing
those
infected
exposed.
supported
findings
numerical
simulations
demonstrate
effectiveness
strategy.
Journal of Intelligent & Fuzzy Systems,
Journal Year:
2023,
Volume and Issue:
46(1), P. 2447 - 2460
Published: Dec. 8, 2023
During
the
period
of
2019–20,
forecasting
was
utmost
priority
for
health
care
planning
and
to
combat
COVID-19
pandemic.
Almost
everyone’s
life
has
been
greatly
impacted
by
COVID-19.
Understanding
how
disease
spreads
is
crucial
know
behaves
dynamically.
The
aim
research
construct
an
SEI
Q1Q2
R
model
with
fuzzy
parameters.
parameters
are
transmission
rate,
infection
recovery
rate
death
rate.
We
compute
basic
reproduction
number,
using
next-generation
matrix
method,
which
will
be
used
further
study
model’s
prediction.
COVID-free
endemic
equilibrium
points
attain
local
global
stability
when
R0
<
1.
A
sensitivity
analysis
number
against
its
internal
parameter
done.
results
this
showed
that
intervention
measures.
numerical
simulation
along
graphical
representations
at
shown.
SEIQ1Q2R
a
successful
analyse
spreading
controlling
epidemics
like
Mathematics,
Journal Year:
2023,
Volume and Issue:
12(1), P. 14 - 14
Published: Dec. 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.
