Global mathematical analysis of a patchy epidemic model
An International Journal of Optimization and Control Theories & Applications (IJOCTA),
Год журнала:
2024,
Номер
14(4), С. 365 - 377
Опубликована: Окт. 14, 2024
The
dissemination
of
a
disease
within
homogeneous
population
can
typically
be
modeled
and
managed
in
uniform
fashion.
Conversely,
non-homogeneous
populations,
it
is
essential
to
account
for
variations
among
subpopulations
achieve
more
precise
predictive
modeling
efficacious
intervention
strategies.
In
this
study,
we
introduce
examine
the
comprehensive
behavior
deterministic
two-patch
epidemic
model
alongside
its
stochastic
counterpart
assess
dynamics
between
two
heterogeneous
populations
inhabiting
distinct
regions.
First,
utilizing
specific
Lyapunov
function,
demonstrate
that
disease-free
equilibrium
globally
asymptotically
stable.
For
model,
establish
well-posed,
meaning
possesses
unique
positive
solution
with
probability
one.
Subsequently,
ascertain
conditions
necessary
ensure
total
extinction
across
both
Furthermore,
explicitly
determine
threshold
condition
under
which
persists
areas.
Additionally,
discuss
scenario
wherein
one
region
while
simultaneously
becoming
extinct
other.
article
concludes
series
numerical
simulations
corroborate
theoretical
findings.
Язык: Английский
Solitonic Analysis of the Newly Introduced Three-Dimensional Nonlinear Dynamical Equations in Fluid Mediums
Mathematics,
Год журнала:
2024,
Номер
12(20), С. 3205 - 3205
Опубликована: Окт. 13, 2024
The
emergence
of
higher-dimensional
evolution
equations
in
dissimilar
scientific
arenas
has
been
on
the
rise
recently
with
a
vast
concentration
optical
fiber
communications,
shallow
water
waves,
plasma
physics,
and
fluid
dynamics.
Therefore,
present
study
deploys
certain
improved
analytical
methods
to
perform
solitonic
analysis
newly
introduced
three-dimensional
nonlinear
dynamical
(all
within
current
year,
2024),
which
comprise
new
(3
+
1)
Kairat-II
equation,
latest
Kairat-X
Boussinesq
type
generalized
Korteweg–de
Vries
equation.
Certainly,
analysis,
or
rather,
admittance
diverse
solutions
by
these
models
interest,
will
greatly
augment
findings
at
hand,
mainly
deliberate
satisfaction
Painleve
integrability
property
existence
structures
using
classical
Hirota
method.
Lastly,
this
is
relevant
contemporary
research
many
fields,
like
hyper-elasticity,
material
science,
fibers,
optics,
propagation
waves
media,
thereby
unearthing
several
concealed
features.
Язык: Английский
Sensitivity analysis and uncertainty quantification of climate change effects on Tanzanian banana crop yield
Results in Control and Optimization,
Год журнала:
2025,
Номер
unknown, С. 100519 - 100519
Опубликована: Янв. 1, 2025
Язык: Английский
The relationship between colon cancer and immune system: a fractional order modelling approach
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi,
Год журнала:
2025,
Номер
27(1), С. 126 - 144
Опубликована: Янв. 20, 2025
In
this
paper,
a
new
fractional-order
differential
equation
system
is
developed
for
colon
cancer
to
address
the
detailed
analysis.
model,
interaction
between
tumor
cells,
macrophage
dendritic
cells
and
CD4+
T
helper
established
using
Michaelis-Menten
kinetics.
addition,
mathematical
analyses
such
as
positivity
boundedness
are
also
carried
out.
Numerical
results
obtained
observe
intercellular
course
of
biological
interpretations
included.
Язык: Английский
Evaluating the stability and efficacy of fractal-fractional models in reproductive cancer apoptosis with ABT-737
Journal of Inequalities and Applications,
Год журнала:
2025,
Номер
2025(1)
Опубликована: Янв. 29, 2025
Язык: Английский
Dynamical analysis of tumor–dystrophin interaction model with impact of age of onset and staging
Fixed Point Theory and Algorithms for Sciences and Engineering,
Год журнала:
2025,
Номер
2025(1)
Опубликована: Март 10, 2025
Язык: Английский
Impact of dust storms on plant biomass: Model structure and dynamic study
Alexandria Engineering Journal,
Год журнала:
2025,
Номер
126, С. 605 - 622
Опубликована: Май 8, 2025
Язык: Английский
A new model of the impact of chronic hepatitis C and its treatment on the development of tuberculosis: An optimal control and sensitivity analysis
Chaimae El Mourabit,
Nadia Idrissi Fatmi
Results in Control and Optimization,
Год журнала:
2025,
Номер
unknown, С. 100574 - 100574
Опубликована: Май 1, 2025
Язык: Английский