International Journal of Mathematics and Computer in Engineering,
Journal Year:
2024,
Volume and Issue:
3(1), P. 35 - 46
Published: June 1, 2024
Abstract
This
study
presents
a
mathematical
model
to
investigate
the
dynamics
of
Human
Immunodeficiency
Virus
infection
and
Acquired
Syndrome
(HIV/AIDS)
transmission.
Employing
analysis,
non-negativity,
boundedness,
basic
reproduction
number
ℛ
0
,
stability
both
disease-free
endemic
equilibrium
proposed
were
derived.
Normalized
forward
sensitivity
techniques
are
used
determine
significance
importance
sensitive
parameters
associated
with
.
To
gain
insights
into
dynamical
behavior
each
compartment,
an
effective
numerical
scheme
was
utilized,
results
obtained
suggest
that
there
is
need,
even
if
individuals
infected
virus,
use
non-pharmaceutical
interventions
as
control
strategies.
Scientific Reports,
Journal Year:
2023,
Volume and Issue:
13(1)
Published: Oct. 27, 2023
Abstract
Although
there
are
many
results
that
can
be
used
to
treat
and
prevent
Coronavirus
Disease
2019
(COVID-19)
Human
Immunodeficiency
Virus
(HIV),
these
diseases
continue
public
health
concerns
cause
socioeconomic
consequences.
Following
compromised
immunity,
COVID-19
is
considered
a
challenge
for
people
with
HIV.
People
advanced
HIV
vulnerable
population
at
high
risk
in
several
case
studies
discuss
co-infection.
As
no
cure
chance
of
contracting
again,
co-infection
continues
pose
problem.
The
purpose
this
study
investigate
the
impact
intervention
strategies
identify
role
different
parameters
risking
living
death
when
they
get
infected
COVID-19.
This
achieved
through
development
rigorous
analysis
mathematical
model
considers
due
formulation
provides
detailed
explanation
transmission
dynamics
solution’s
invariant
region,
positivity,
boundedness
were
established.
reproduction
numbers
sub-models
determined.
existence
stability
equilibria,
including
backward
bifurcation
sub-model,
examined.
epidemiological
significance
condition
$${\mathscr
{R}}_0$$
R0
less
than
1
eliminating
COVID-19,
though
necessary,
longer
sufficient.
Parametric
estimation
curve
fitting
performed
based
on
data
from
Ethiopia.
Numerical
simulations
employed
support
clarify
analytical
findings
show
some
parameter
effects
Accordingly,
indicated
$$\gamma
_c$$
γc
,
_h$$
h
$$\epsilon$$
ϵ
$$\kappa$$
κ
related
patients’
exposure
other
increase
infectiousness,
have
positive
increasing
number
co-infections.
On
hand,
an
vaccination
(
$$\xi$$
ξ
)
shows
suppression
cases.
In
addition,
treating
co-infected
individuals
treatment
rates
$$\alpha$$
α
$$\varphi$$
φ
reduces
HIV-infected
burden.
It
was
implied
improving
vaccine
delivery
programs
medical
interventions
important
contributions
lowering
infection-related
fatalities
patients.
International Journal of Mathematics and Computer in Engineering,
Journal Year:
2024,
Volume and Issue:
3(1), P. 35 - 46
Published: June 1, 2024
Abstract
This
study
presents
a
mathematical
model
to
investigate
the
dynamics
of
Human
Immunodeficiency
Virus
infection
and
Acquired
Syndrome
(HIV/AIDS)
transmission.
Employing
analysis,
non-negativity,
boundedness,
basic
reproduction
number
ℛ
0
,
stability
both
disease-free
endemic
equilibrium
proposed
were
derived.
Normalized
forward
sensitivity
techniques
are
used
determine
significance
importance
sensitive
parameters
associated
with
.
To
gain
insights
into
dynamical
behavior
each
compartment,
an
effective
numerical
scheme
was
utilized,
results
obtained
suggest
that
there
is
need,
even
if
individuals
infected
virus,
use
non-pharmaceutical
interventions
as
control
strategies.
