L2 convergence for positive finite-difference solutions of the diffusive logistic equation in two-dimensional bounded domains

DOI10.1016/0898-1221(86)90024-6zbMath0622.65133OpenAlexW2062398619MaRDI QIDQ3759904

Anthony W. Leung, Diego A. Murio

Publication date: 1986

Published in: Computers & Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(86)90024-6

zbMATH Keywords

uniquenessExistencediffusive logistic equationbiological logistic growth equation with diffusionecological prey-predator diffusive models

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Applications to the sciences (65Z05) General biology and biomathematics (92B05)

Cites Work

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• A study of three species prey-predator reaction-diffusions by monotone schemes
• Monotone scheme for finite difference equations concerning steady-state prey-predator interactions
• Topics in stability and bifurcation theory
• Elliptic Partial Differential Equations of Second Order

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