Existence and permanence in a diffusive KiSS model with robust numerical simulations

DOI10.1155/2015/485860zbMath1337.65133OpenAlexW2206464402WikidataQ59106929 ScholiaQ59106929MaRDI QIDQ274817

Kailash C. Patidar, Kolade M. Owolabi

Publication date: 25 April 2016

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/485860

zbMATH Keywords

numerical examplesemidiscretizationRunge-Kutta schemespectral methodreaction-diffusion problemexponential time-differencing method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions, Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods, Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense, Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems, Numerical simulation of multidimensional nonlinear fractional Ginzburg-Landau equations, Fourier spectral method for higher order space fractional reaction-diffusion equations, Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System, Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order, Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems, Numerical Solution of Space-Time-Fractional Reaction-Diffusion Equations via the Caputo and Riesz Derivatives

Uses Software

• Matlab

Cites Work

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