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
Pattern dynamics of vegetation based on optimal control theory
Nonlinear Dynamics,
Год журнала:
2024,
Номер
unknown
Опубликована: Сен. 5, 2024
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
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
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
Modeling vegetation patterning on sloped terrains: The role of toxic compounds
Physica D Nonlinear Phenomena,
Год журнала:
2023,
Номер
459, С. 134020 - 134020
Опубликована: Дек. 13, 2023
Vegetation
patterning
processes
taking
place
on
sloped
terrains
are
here
investigated
through
a
class
of
three-compartments
1D
reaction-advection-diffusion
models
enclosing
the
effects
associated
with
presence
toxic
compounds.
Focus
is
given
to
transition
from
uniformly-vegetated
area
desert
state
which
occurs
formation
an
intermediate
characterized
by
non-stationary
vegetation
stripes.
To
this
aim,
linear
stability
analysis
addressed
characterize
mechanism
wave
instability,
responsible
for
emergence
oscillatory
Turing
patterns.
In
detail,
provides
critical
value
main
control
parameter
as
well
wavelength
and
migration
speed
at
onset
instability.
Moreover,
multiple-scale
weakly
nonlinear
performed
describe
time
evolution
pattern
amplitude
close
bifurcation
threshold.
Theoretical
investigations
complemented
numerical
simulations
carried
out
extension
Klausmeier
kinetics
that
explicitly
takes
into
account
interaction
between
autotoxicity
biomass.
Numerical
results
provide
several
insights
how
interplay
among
mean
annual
rainfall,
plant
mortality
plant's
sensitivity
toxicity
gives
rise
different
ecological
scenarios.
Язык: Английский
Bifurcations analysis and pattern formation in a plant-water model with nonlocal grazing
Nonlinear Dynamics,
Год журнала:
2024,
Номер
unknown
Опубликована: Окт. 17, 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