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
International Journal of Bifurcation and Chaos,
Journal Year:
2023,
Volume and Issue:
33(01)
Published: Jan. 1, 2023
In
this
paper,
we
investigate
the
spatiotemporal
dynamics
of
Sel’kov–Schnakenberg
system.
The
stability
positive
constant
steady
state
is
studied
by
linear
theory.
Hopf
bifurcation
and
Turing–Hopf
are
generated
varying
two
parameters
in
model.
normal
form
near
singularity
calculated
to
explore
complex
Finally,
numerical
simulations
carried
out
verify
theoretical
results.
Our
results
show
that
system
exhibits
singularity,
including
existence
inhomogeneous
states,
homogeneous
periodic
solutions
solutions.
International Journal of Bifurcation and Chaos,
Journal Year:
2024,
Volume and Issue:
34(05)
Published: April 1, 2024
In
this
paper,
we
investigate
the
spatiotemporal
dynamics
in
a
diffusive
two-species
system
with
taxis
term
and
general
functional
response,
which
means
directional
movement
of
one
species
upward
or
downward
other
one.
The
stability
positive
equilibrium
existences
Turing
bifurcation,
Turing–Hopf
bifurcation
Turing–Turing
are
investigated.
An
algorithm
for
calculating
normal
form
induced
by
another
parameter
is
derived.
Furthermore,
apply
our
theoretical
results
to
cooperative
Lotka–Volterra
predator–prey
prey-taxis.
For
system,
stable
becomes
unstable
taxis-driven
instability,
impossible
without
taxis.
prey-taxis,
dynamical
classification
near
point
clearly
described.
Near
point,
there
spatially
inhomogeneous
steady-state
solution,
homogeneous/nonhomogeneous
periodic
solution
pattern
transitions
from
state
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
