Analyzing vegetation pattern formation through a time-ordered fractional vegetation-sand model: a spatiotemporal dynamic approach
DOI10.3934/NHM.2024055MaRDI QIDQ6647125
Zunyou Lv, Ahmadjan Muhammadhaji, Yimamu Maimaiti, Wang Zhang
Publication date: 3 December 2024
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional derivatives and integrals (26A33) Developmental biology, pattern formation (92C15) Ecology (92D40) Bifurcations in context of PDEs (35B32) Plant biology (92C80) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs on time scales (35R07)
Cites Work
- Inhomogeneous oscillatory structures in fractional reaction-diffusion systems
- Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equations
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Turing pattern formation in a semiarid vegetation model with fractional-in-space diffusion
- Vegetation patterns along a rainfall gradient
- Patterns induced by super cross-diffusion in a predator-prey system with Michaelis-Menten type harvesting
- Hopf bifurcation and chaos in fractional-order modified hybrid optical system
- Turing instability and coexistence in an extended Klausmeier model with nonlocal grazing
- Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative
- Global existence and large time behavior of solutions of a time fractional reaction diffusion system
- New insights on piezoelectric thermoelastic coupling and transient thermo-electromechanical responses of multi-layered piezoelectric laminated composite structure
- Inhomogeneous oscillatory solutions in fractional reaction-diffusion systems and their computer modeling
- Turing-Hopf bifurcation analysis in a superdiffusive predator-prey model
- Vegetation Pattern Formation and Transition Caused by Cross-Diffusion in a Modified Vegetation-Sand Model
- Positive steady-state solutions for a water-vegetation model with the infiltration feedback effect
- Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect
- Fractional-order rate-dependent thermoelastic diffusion theory based on new definitions of fractional derivatives with non-singular kernels and the associated structural transient dynamic responses analysis of sandwich-like composite laminates
- Relative controllability and Hyers-Ulam stability of Riemann-Liouville fractional delay differential system
- A new result on averaging principle for Caputo-type fractional delay stochastic differential equations with Brownian motion
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