Inhomogeneous oscillatory solutions in fractional reaction-diffusion systems and their computer modeling

DOI10.1016/J.AMC.2007.08.065zbMath1137.65068OpenAlexW1975892142MaRDI QIDQ2425980

Yanyan Li

Publication date: 17 April 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.065

zbMATH Keywords

fractional derivativesnumerical examplesreaction-diffusion systemoscillationsfractional differential equationsTuring instabilitydissipative structuresinhomogeneous oscillatory structuresBonhoeffer-van der Pol type reaction-diffusion systems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion ⋮ The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation ⋮ Chaotic dynamics in Bonhoffer-van der Pol fractional reaction-diffusion system ⋮ Scale-free memory model for multiagent reinforcement learning. Mean field approximation and rock-paper-scissors dynamics ⋮ Numerical simulation with high order accuracy for the time fractional reaction-subdiffusion equation ⋮ Complex Dynamics in Basic Two-Component Auto-Oscillation Systems with Fractional Derivatives of Different Orders

Cites Work

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• Oscillatory reaction-diffusion equations with temporally varying parameters
• Fractional cable equation models for anomalous electrodiffusion in nerve cells: Infinite domain solutions
• Mathematical modeling of time fractional reaction-diffusion systems
• New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations
• Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
• Stability of the Static Spike Autosolitons in the Gray--Scott Model
• Variational representation of the projection dynamics and random motion of highly dissipative systems

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