Far-from-Equilibrium Traveling Pulses in Sloped Semiarid Environments Driven by Autotoxicity Effects
SIAM Journal on Applied Mathematics,
Год журнала:
2025,
Номер
85(1), С. 188 - 209
Опубликована: Янв. 27, 2025
Язык: Английский
Stationary and Oscillatory patterned solutions in three-compartment reaction–diffusion systems: Theory and application to dryland ecology
Chaos Solitons & Fractals,
Год журнала:
2024,
Номер
186, С. 115287 - 115287
Опубликована: Июль 23, 2024
This
work
aims
at
elucidating
the
conditions
under
which
stationary
and
oscillatory
periodic
patterns
may
emerge
in
a
class
of
one-dimensional
three-compartments
reaction–diffusion
models
where
one
interacting
species
does
not
undergo
any
spatial
dispersal.
To
this
purpose,
linear
stability
analysis
is
firstly
employed
to
deduce
system
undergoes
Turing
or
wave
instability
as
well
extract
information
on
main
features
that
characterize
corresponding
patterned
solutions
onset.
Then,
multiple-scale
weakly
nonlinear
carried
out
describe
time
evolution
pattern
amplitude
close
bifurcation
thresholds
above-mentioned
instabilities.
Finally,
provide
quantitative
estimation
most
relevant
features,
an
illustrative
example
context
dryland
ecology
addressed.
It
deals
with
generalization
Klausmeier
vegetation
model
for
flat
arid
environments
describes
interaction
among
biomass,
soil
water
toxic
compounds.
Numerical
simulations
are
also
used
corroborate
theoretical
findings
gain
some
useful
insights
into
ecological
response
ecosystems
variable
environmental
conditions.
Язык: Английский
A random planting model
Journal of Statistical Mechanics Theory and Experiment,
Год журнала:
2025,
Номер
2025(1), С. 013402 - 013402
Опубликована: Янв. 1, 2025
Abstract
The
adoption
of
agroecological
practices
will
be
crucial
to
address
the
challenges
climate
change
and
biodiversity
loss.
Such
favor
cultivation
plants
in
complex
mixtures
with
layouts
differing
from
monoculture
approach
conventional
agriculture.
Inspired
by
random
sequential
adsorption
processes,
we
propose
a
one-dimensional
model
which
are
represented
as
line
segments
that
start
points
grow
at
constant
rate
until
they
reach
length
σ
after
time
interval
τ
.
planting
positions
times
randomly
chosen
constraint
plant
overlap
is
forbidden.
We
apply
an
exact,
event-driven
simulation
investigate
resulting
spatiotemporal
patterns
yields
both
mono-
duocultures.
After
transient
period,
oscillations
density
coverage,
field
reaches
steady
state
mean
age
one
half
maturity.
structure
active
characterized
correlation
functions
between
fluctuation
its
k
th
neighbour.
Nearest
neighbours
negatively
correlated,
while
next
nearest
tend
have
similar
ages.
yield
increases
approaches
maximum
value
4/3
per
unit
time.
For
two
species
same
size
maturity
but
different
growth
rates,
more
slowly
growing
enriched
harvest
compared
seed
mix
composition.
If
sizes,
smaller
and,
sufficiently
high
rate,
larger
may
completely
absent.
ratio
σ
/
τ
selectivity
insensitive
rate.
This
algorithms
describing
strategies
extended
higher
dimensions,
other
assist
design
novel
microfarms.
Язык: Английский
Travelling waves in dryland ecology: continuous and discontinuous connections in a hyperbolic vegetation model
Nonlinear Dynamics,
Год журнала:
2025,
Номер
unknown
Опубликована: Фев. 15, 2025
Язык: Английский
Fractional Vegetation-Water Model in Arid and Semi-Arid Environments: Pattern Formation and Numerical Simulations
Опубликована: Янв. 1, 2025
Язык: Английский
Vegetation pattern formation and transition in dryland ecosystems with finite soil resources and inertia
Physica D Nonlinear Phenomena,
Год журнала:
2025,
Номер
unknown, С. 134601 - 134601
Опубликована: Март 1, 2025
Язык: Английский
PDE models for vegetation biomass and autotoxicity
Mathematics and Computers in Simulation,
Год журнала:
2024,
Номер
unknown
Опубликована: Сен. 1, 2024
Язык: Английский
Turing patterns in a networked vegetation model
Mathematical Biosciences & Engineering,
Год журнала:
2024,
Номер
21(11), С. 7601 - 7620
Опубликована: Янв. 1, 2024
A
vegetation
model
composed
of
water
and
plants
was
proposed
by
introducing
a
weighted
graph
Laplacian
operator
into
the
reaction-diffusion
dynamics.
We
showed
global
existence
uniqueness
solution
via
monotone
iterative
sequence.
The
parameter
space
Turing
patterns
for
plant
behavior
is
obtained
based
on
analysis
eigenvalues
graph,
while
amplitude
equation
determining
stability
weakly
nonlinear
analysis.
also
show
that
optimal
rainfall
only
determined
density
water.
By
some
numerical
simulations,
we
examine
individual
effect
diffusion
term
formation
regular
patterns.
large
induces
stable
Язык: Английский