A numerical method for finding positive solution of elliptic systems with nonlinear diffusion in population dynamics

DOI10.1016/j.amc.2006.09.027zbMath1120.65337OpenAlexW2066697139MaRDI QIDQ883903

Ghasem Alizadeh Afrouzi, Somayeh Mahdavi, Zohreh Naghizadeh

Publication date: 12 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.027

zbMATH Keywords

positive solutionsnumerical examplespopulation dynamicsnonlinear diffusionsub- and super-solutionsmonotone numerical algorithm

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Population dynamics (general) (92D25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• Existence of positive solutions for elliptic systems - degenerate and nondegenerate ecological models
• Elliptic systems with nonlinear diffusion in population dynamics
• POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS