Mathematical Medicine and Biology A Journal of the IMA,
Journal Year:
2024,
Volume and Issue:
41(1), P. 53 - 80
Published: Feb. 29, 2024
Abstract
Altay
Prefecture,
a
typical
arid
region
in
northwestern
China,
has
experienced
the
climate
transition
from
warming-drying
to
warming-wetting
since
1980s
and
attracted
widespread
attention.
Nonetheless,
it
is
still
unclear
how
change
influenced
distribution
of
vegetation
this
region.
In
paper,
reaction–diffusion
model
climate–vegetation
system
proposed
study
impact
(precipitation,
temperature
carbon
dioxide
concentration)
on
patterns
Prefecture.
Our
results
indicate
that
tendency
growth
Prefecture
improved
gradually
1985
2010.
Under
current
conditions,
increase
precipitation
pattern
structures,
eventually
coverage
tends
be
uniform.
Moreover,
we
found
there
exists
an
optimal
where
spot
structure
remains
stable.
Furthermore,
concentration
induces
transition.
Based
four
scenarios
Coupled
Model
Intercomparison
Project
Phase
6
(CMIP6),
used
power
law
range
(PLR)
predict
scenario
for
sustainable
development
ecosystem
Chaos Theory and Applications,
Journal Year:
2024,
Volume and Issue:
unknown
Published: April 5, 2024
This
paper
examines
dynamic
behaviours
of
a
two-species
discrete
fractional
order
predator-prey
system
with
functional
response
form
Ivlev
along
Gompertz
growth
prey
population.
A
discretization
scheme
is
first
applied
to
get
Caputo
differential
for
the
prey-predator
model.
study
identifies
certain
conditions
local
asymptotic
stability
at
fixed
points
proposed
The
existence
and
direction
period-doubling
bifurcation,
Neimark-Sacker
Control
Chaos
are
examined
discrete-time
domain.
As
bifurcation
parameter
increases,
displays
chaotic
behaviour.
For
various
model
parameters,
diagrams,
phase
portraits,
time
graphs
obtained.
Theoretical
predictions
long-term
behaviour
supported
by
numerical
simulations
across
wide
variety
parameters.
article
aims
offer
an
OGY
state
feedback
strategy
that
can
stabilize
orbits
precarious
equilibrium
point.
GIScience & Remote Sensing,
Journal Year:
2022,
Volume and Issue:
59(1), P. 2217 - 2246
Published: Dec. 12, 2022
Due
to
the
limitations
of
spatial
quantification
methods,
spatio-temporal
patterns
grassland
utilization
intensity
(GUI)
in
Selinco
watershed
(SLCW),
core
region
ecological
security
on
Qinghai-Tibetan
Plateau,
is
unclear
under
multiple
modes.
This
paper
quantified
GUI
by
constructing
association
between
potential
and
actual
Enhanced
Vegetation
Index
(EVI)
grasslands
terms
interannual
variability.
To
obtain
an
accurate
dataset
EVI,
following
two
components
were
considered
on.
Firstly,
temporal
lag
effects
each
raw
climate
factor
investigated
determine
optimal
variables
affecting
vegetation
productivity.
Secondly,
four
machine
learning
(ML)
algorithms,
including
artificial
neural
network,
random
forest,
support
vector
machine,
gradient
boosting
regression
tree
combined
with
Bayesian
model
average,
used
construct
EVI
models
involving
type,
environmental
factors
(topography,
soil,
climate,
bioclimatic).
Meanwhile,
maximize
performance
ML
models,
variable
selection,
transformation,
hyperparameter
optimization
systematically
implemented,
where
algorithms
employ
grid
search
algorithm,
optimization,
genetic
particle
swarm
optimization.
Then,
SLCW
from
2001
2019
was
established
using
above
method
based
multisource
remote
sensing
intelligence
algorithms.
The
analysis
variation
showed
that
implementation
restoration
projects
leads
a
significant
rapid
decline
overall
after
2010
(declining
4.8%),
which
more
obvious
non-nature
reserve
9.3%).
In
Qiangtang
Nature
Reserve
within
SLCW,
although
shows
declining
trend
because
projects,
it
insignificant
increase
due
recovery
wildlife
populations
recent
decades.
Besides,
exploring
elevation
slope
GUI,
found
higher
slopes
at
lower
elevations
are
greater
risk
degradation
intensive
utilization.
Journal of Applied Analysis & Computation,
Journal Year:
2023,
Volume and Issue:
14(1), P. 473 - 505
Published: Dec. 4, 2023
In
order
to
understand
the
mechanism
of
water
uptake
by
vegetation,
we
propose
a
vegetation-water
model
with
nonlocal
effect
which
is
characterised
delay
strong
kernel
in
this
paper.
By
mathematical
analysis,
condition
producing
steady
pattern
obtained.
Furthermore,
amplitude
equation
determines
type
Turing
obtained
nonlinear
analysis
method.
The
corresponding
vegetation
and
evolution
process
under
different
intensity
roots
are
given
numerical
simulations.
results
show
that
as
increases,
isolation
degree
increases
indicates
robustness
ecosystem
decreases.
Besides,
reveal
diffusion
coefficient
change
structure
is:
stripe
pattern$
\rightarrow
$mixed
$spot
pattern.
Our
effects
on
distribution,
provide
theoretical
basis
for
study
vegetation.
Remote Sensing,
Journal Year:
2023,
Volume and Issue:
15(4), P. 978 - 978
Published: Feb. 10, 2023
Arid
ecosystems
are
known
to
be
sensitive
climate
change.
The
Jornada
Basin
in
the
USA,
as
one
representative
of
arid
land,
has
suffered
from
land
degradation
recent
decades.
In
order
disentangle
climate–vegetation
feedback,
we
analyzed
vegetation
dynamics
under
effects
change
via
a
mathematical
model
based
on
reaction–diffusion
mechanism.
Using
this
model,
conducted
analysis
factors
and
concluded
that
ecosystem
might
experience
catastrophic
shift
with
climatic
deterioration.
We
considered
non-local
interaction
term
explain
competition
among
plants.
Additionally,
PLR
(power
law
range)
metric
was
used
quantify
extent
compare
results
patterns
remote
sensing
data
simulations.
From
results,
could
simulate
trends
area.
found
mainly
attributed
changes
years.
This
approach
suggests
can
provide
hints
whether
is
approaching
desertification.
These
help
mapping
vulnerable
areas
around
world
through
simulation
satellite
images.
PLoS ONE,
Journal Year:
2024,
Volume and Issue:
19(12), P. e0314910 - e0314910
Published: Dec. 12, 2024
Patterns
in
a
semiarid
ecosystem
are
important
because
they
directly
and
indirectly
affect
ecological
processes,
biodiversity,
resilience.
Understanding
the
causes
effects
of
these
patterns
is
critical
for
long-term
land
surface
management
conservation
efforts
regions,
which
especially
sensitive
to
climate
change
human-caused
disturbances.
In
addition,
developing
mathematical
models
challenging
involvement
several
interacting
components
within
an
ecosystem.
It
known
that
there
regular
connection
between
vegetation
living
species
habitat
since
some
animals
evolved
live
rely
on
plants
food.
this
work,
we
have
constructed
coupled
model
connect
water
resource,
vegetation,
organisms
investigated
how
soil
affects
resulting
long
term.
This
study
contributes
better
understanding
processes
environments
by
shedding
light
complex
interaction
mechanisms
depend
structure
ecosystems.
For
example,
impact
intensive
rainfall
dynamics
can
be
profound,
triggering
transitions
leading
significant
yield
loss.
The
energy
lost
as
it
moves
from
one
trophic
level
next,
potential
diversity
exacerbate
extinction
rates,
role
flow
driving
system
towards
more
robust
stripe
pattern
formations
all
factors.
Despite
complexities,
findings
offer
insights
into
influence
enhance
resilience
adapt
challenges
human
activities.
Journal of Mathematical Biology,
Journal Year:
2022,
Volume and Issue:
86(1)
Published: Dec. 17, 2022
Abstract
Spatiotemporal
patterns
of
vegetation
are
a
ubiquitous
feature
semi-arid
ecosystems.
On
sloped
terrain,
occur
as
stripes
perpendicular
to
the
contours.
Field
studies
report
contrasting
long-term
dynamics
between
different
observation
sites;
some
observe
slow
uphill
migration
bands
while
stationary
patterns.
In
this
paper,
we
show
that
long-range
seed
dispersal
provides
mechanism
enables
occurrence
both
migrating
and
We
utilise
nonlocal
PDE
model
in
which
is
accounted
for
by
convolution
term.
The
represents
periodic
travelling
waves
numerical
continuation
shows
almost
stable
if
distances
sufficiently
large.
use
perturbation
theory
approach
obtain
analytical
confirmation
existence
patterned
solutions
provide
biological
interpretation
phenomenon.