Hopf Bifurcations in a Mathematical Model for Economic Growth, Corruption, and Unemployment: Computation of Economic Limit Cycles
Axioms,
Год журнала:
2025,
Номер
14(3), С. 173 - 173
Опубликована: Фев. 27, 2025
In
this
paper,
we
investigate
the
existence
of
Hopf
bifurcations
in
a
mathematical
model
that
includes
economic
growth,
corruption,
and
unemployment.
The
links
these
social
factors
to
provide
insights
into
dynamics
economy.
motivation
for
investigating
appearance
is
cycles
often
occur
economics
play
an
important
role.
was
presented
before,
but
topic
limit
not
investigated.
authors
studied
some
effects
corruption
on
growth
However,
our
work,
focus
cycles.
We
used
different
bifurcation
parameters
find
conditions
bifurcations.
perform
variety
numerical
simulations
which
system
presents
several
additional
support
theoretical
results
related
stability
Finally,
present
discussion
future
directions
research.
Язык: Английский
Analysis of the hate speech and racism co-existence dissemination model with optimal control strategies
Chaos Solitons & Fractals X,
Год журнала:
2024,
Номер
12, С. 100109 - 100109
Опубликована: Апрель 23, 2024
Hate
speech,
racism,
and
their
co-existence
are
the
human
mind
infections
that
major
factors
affect
living
conditions
of
people,
societal
well-being,
political
stability,
economic
social
disturbance
throughout
world
especially
in
underdeveloped
nations
world.
The
main
objective
this
study
is
to
formulate
analyze
hate-speech
racism
model
with
optimal
control
strategies
investigate
effects
protection
improvement
(rehabilitation)
minimize
tackle
hate
speech
dissemination
community.
In
study,
we
have
computed
sub-model,
equilibrium
points
analyzed
stabilities,
using
next
generation
operator
approach
all
models'
effective
reproduction
numbers
computed,
examined
phenomenon
backward
bifurcation
whenever
number
less
than
one
where
at
which
both
positive
free
point
dominance
exist
simultaneously.
To
achieve
minimizing
dynamics
by
implementing
efforts
towards
strategies,
problem
re-formulated,
analysis
performed
for
Pontryagin's
maximum
principle.
Numerical
simulations
MATLAB
ode45
solver
fourth-order
Runge-Kutta
numerical
methods
behavior
solutions
explore
protections
improvements
then
performed.
From
results,
observed
simultaneously
most
propagation
Язык: Английский
A mathematical model of corruption dynamics and optimal control
Franklin Open,
Год журнала:
2025,
Номер
unknown, С. 100216 - 100216
Опубликована: Янв. 1, 2025
Язык: Английский
A new epidemic model of sexually transmittable diseases: a fractional numerical approach
Scientific Reports,
Год журнала:
2025,
Номер
15(1)
Опубликована: Янв. 30, 2025
This
study
aims
at
investigating
the
dynamics
of
sexually
transmitted
infectious
disease
(STID),
which
is
serious
health
concern.
In
so
doing,
integer
order
STID
model
progressed
in
to
time-delayed
non-integer
by
introducing
Caputo
fractional
derivatives
place
and
including
delay
factors
susceptible
compartments.
Moreover,
unique
existence
solution
for
underlying
ensured
establishing
some
benchmark
results.
Likewise,
positivity
boundedness
solutions
projected
explored.
The
basic
reproduction
number
$${R}_{0}$$
found
out
model.
holds
two
steady
states,
namely,
free
endemic
state.
stability
carried
states.
non-standard
finite
difference
(NSFD)
technique
hybridized
with
Grunwald
Letnikov
(GL)
approximation
finding
numerical
non-negativity
scheme
confirmed.
simulated
graphs
are
presented
help
an
appropriate
test
example.
These
show
that
proposed
algorithm
provides
positive
bounded
solutions.
article
ended
productive
outcomes
study.
Язык: Английский
Investigation of control measurs on racism dissemination using fractional order model approach and optimal control theory
Research in Mathematics,
Год журнала:
2025,
Номер
12(1)
Опубликована: Май 26, 2025
Язык: Английский
Analysis of fractional order model on the employees’ negative attitudes towards their workplace
Research in Mathematics,
Год журнала:
2024,
Номер
11(1)
Опубликована: Март 4, 2024
In
most
countries
throughout
the
world,
negative
attitude
of
employees
toward
their
workplace
is
a
major
concern
through
government
as
well
non-government
institutions.
The
main
objective
this
study
to
construct
and
analyze
novel
employee
towards
dissemination
fractional
order
model
investigate
impacts
protection
improvement
(rehabilitation)
strategies.
qualitative
analyses
proposed
proved
solutions
non-negativity
boundedness,
computed
attitude-free,
persistence
equilibrium
points,
local
stability
it
also
that
existence
backward
bifurcation
whenever
associated
effective
reproduction
number
less
unity.
Numerical
simulations
have
been
carried
out
verify
results
parameter
effects
behavior.
Eventually,
from
numerical
results,
we
observed
recommended
an
optimal
effort
implement
strategies
simultaneously
best
possible
strategy
reduce
employees’
attitudes
in
population
under
consideration.
Язык: Английский
Smoking and alcoholism dual addiction dissemination model analysis with optimal control theory and cost-effectiveness
PLoS ONE,
Год журнала:
2024,
Номер
19(10), С. e0309356 - e0309356
Опубликована: Окт. 14, 2024
A
mathematical
model
of
the
dual
addiction
dissemination
dynamics
alcoholism
and
smoking
was
created
examined
in
this
work,
along
with
cost-effectiveness
optimal
control
techniques.
The
primary
goal
research
is
to
determine
which
cost-efficient
management
techniques
are
most
helpful
lowering
problem
dispersion
community.
sub-model,
alcohol
between
were
all
calculated,
their
stability
study.
effective
reproduction
numbers
models
computed
using
next-generation
operator
technique.
When
model’s
number
smaller
than
one,
backward
bifurcation
phenomenon
seen.
Six
time-dependent
measures
taken
into
consideration
when
formulating
analyzing
optimum
issue.
Utilizing
applying
parameter
values
MATLAB
ode45
solver
we
performed
numerical
simulations
for
both
its
problem.
Furthermore,
incremental
ratio
(ICER),
carried
out
analyses.
analysis
shows
that
implementing
protection
(education)
simultaneously
(i.e.,
Strategy
A)
cost-effective
strategy.
Finally,
recommend
public
health
stakeholders
must
put
great
effort
implementation
reduce
Язык: Английский