Computational Intelligence and Neuroscience,
Journal Year:
2021,
Volume and Issue:
2021(1)
Published: Jan. 1, 2021
This
paper
examines
the
bifurcation
control
problem
of
a
class
delayed
fractional-order
predator-prey
models
in
accordance
with
an
enhancing
feedback
controller.
Firstly,
points
devised
model
are
precisely
figured
out
via
theoretical
derivation
taking
time
delay
as
parameter.
Secondly,
set
comparative
analysis
on
influence
is
numerically
studied
containing
feedback,
dislocated
and
eliminating
approaches.
It
can
be
seen
that
stability
performance
proposed
immensely
heightened
by
approach.
At
end,
numerical
example
given
to
illustrate
feasibility
results.
Journal of Advanced Research in Natural and Applied Sciences,
Journal Year:
2025,
Volume and Issue:
11(1), P. 12 - 26
Published: March 31, 2025
This
paper
investigates
a
fractional-order
prey-predator
model
with
varying
prey-carrying
capacity
and
the
inclusion
of
harvesting
in
both
populations.
The
uses
fractional
derivatives
to
include
memory
effects,
aiming
capture
ecological
dynamics
better.
Moreover,
it
considers
how
prey
can
alter
its
carrying
by
modifying
environment.
stability
Hopf
bifurcation
analyses
are
used
study
population
cycles
equilibrium
states.
Numerical
simulations
reveal
key
biological
insights,
emphasizing
need
for
sustainable
influence
past
interactions
on
ecosystem
balance.
Brazilian Journal of Biometrics,
Journal Year:
2023,
Volume and Issue:
41(3), P. 218 - 233
Published: Sept. 26, 2023
In
this
paper,
we
study
the
incorporation
of
commensalism
interaction
and
harvesting
on
Lotka–Volterra
food
chain
model.
The
system
provides
one
commensal
prey,
harvested
two
predators.
A
set
preliminary
results
in
local
bifurcation
analysis
around
each
equilibrium
point
for
proposed
model
is
discussed,
such
as
saddle-node,
transcritical
pitchfork.
Some
numerical
to
confirm
accruing
illustrated.
To
back
up
conclusions
mathematical
study,
a
simulation
carried
out
with
help
MATLAB
program.
It
can
be
concluded
that
system's
coexistence
achieved
long
rate
second
prey
population
lower
than
its
intrinsic
growth
rate.
Further,
role
mutual
lead
stability
system.
Fractal and Fractional,
Journal Year:
2024,
Volume and Issue:
8(4), P. 190 - 190
Published: March 27, 2024
Fractional-order
differential
equations
have
been
proved
to
great
practical
application
value
in
characterizing
the
dynamical
peculiarity
biology.
In
this
article,
relying
on
earlier
work,
we
formulate
a
new
fractional
oxygen–plankton
model
with
delay.
First
of
all,
features
solutions
delayed
are
explored.
The
judgment
rules
non-negativeness,
existence
and
uniqueness
boundedness
solution
established.
Subsequently,
generation
bifurcation
stability
dealt
with.
Delay-independent
parameter
criteria
presented.
Thirdly,
hybrid
controller
an
extended
designed
control
time
onset
domain
model.
critical
delay
is
provided
display
point.
Last,
software
experiments
offered
support
acquired
key
outcomes.
established
outcomes
article
perfectly
innovative
provide
tremendous
theoretical
significance
balancing
oxygen
density
phytoplankton
Axioms,
Journal Year:
2023,
Volume and Issue:
12(1), P. 64 - 64
Published: Jan. 7, 2023
The
cardinal
element
of
ecology
is
the
predator-prey
relationship.
population
interacting
organisms
based
on
many
factors
such
as
food,
water,
space,
and
protection.
A
key
component
among
these
food.
presence
food
for
shapes
structure
habitat.
present
study
considers
a
predator
two
types
prey.
It
assumed
that
one
prey
species
utilizes
same
resource
predator,
whereas
other
depends
different
resource.
existence
uniqueness
model
are
studied
using
Lipschitz
condition.
fixed
points
fractional-order
sorted
out,
equilibrium
discussed.
stability
analysis
biologically
important
provided.
These
include
coexistence
point
prey-free
(using
resources
does)
point.
scheme
implemented
to
support
theoretical
results
points.
time
series
solution
presented
in
form
plots.
Moreover,
impact
some
mathematically
parameters
presented.
International Journal of Bifurcation and Chaos,
Journal Year:
2023,
Volume and Issue:
33(16)
Published: Dec. 30, 2023
In
this
study,
we
have
developed
a
novel
SIR
epidemic
model
by
incorporating
fractional-order
differential
equations
and
utilizing
saturated-type
functions
to
describe
both
disease
incidence
treatment.
The
intricate
dynamical
characteristics
of
the
proposed
model,
encompassing
determination
conditions
for
existence
all
possible
feasible
equilibria
with
their
local
global
stability
criteria,
are
investigated
thoroughly.
undergoes
backward
bifurcation
respect
parameter
representing
side
effects
due
This
phenomenon
emphasizes
critical
role
treatment
control
parameters
in
shaping
outcomes.
addition,
understand
optimal
mitigating
prevalence
minimizing
associated
cost,
problem.
To
further
visualize
analytical
results,
conducted
simulation
works
considering
values
model.
Finally,
employed
sensitivity
analysis
techniques
identify
factors
that
greatest
potential
reduce
impact
disease.
