STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL

DOI10.1017/S0017089508004485zbMath1152.35366MaRDI QIDQ5302625

Tohru Tsujikawa, Le Huy Chuan, Atsushi Yagi

Publication date: 8 January 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Nonlinear elliptic equations (35J60) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

Related Items (12)

A mathematical model for forest growth dynamics ⋮ Mixed type, nonlinear systems in polygonal domains ⋮ Asymptotic convergence of solutions to the forest kinematic model ⋮ How hysteresis produces discontinuous patterns in degenerate reaction–diffusion systems ⋮ On the robustness of discontinuous patterns in degenerate reaction-diffusion systems with perturbed hysteresis ⋮ A sustainability condition for stochastic forest model ⋮ Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor ⋮ Non-existence of the global attractor for a partly dissipative reaction-diffusion system with hysteresis ⋮ Linearization principle for a system of equations of mixed type ⋮ Mathematical modeling of forest ecosystems by a reaction-diffusion-advection system: impacts of climate change and deforestation ⋮ Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon ⋮ A reaction–diffusion model of forest boundary with seed dynamics

Cites Work

• Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems
• Invariant manifolds of nonlinear operators
• A cross-diffusion model of forest boundary dynamics
• Infinite-dimensional dynamical systems in mechanics and physics.
• LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM
• Asymptotic Behavior of Solutions for Forest Kinematic Model
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