Self- and mutual shading effect on competing algal distribution

DOI10.1016/0362-546X(91)90064-8zbMath0760.92023MaRDI QIDQ4008854

Akira Okubo, Silvia Totaro, Uwe Timm

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear integro-partial differential equationscompeting algal populationsdynamics of algae bloomsexistence of nonnegative steady-state solutionsmutual shading effectsself-shading effectsunique positive global mild solution

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Integro-partial differential equations (45K05) Ecology (92D40) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

Effects of competition and shading in planktonic communities ⋮ A scaled nonlinear mathematical model for interaction of algae with light: Existence and uniqueness results ⋮ Algae‐Light Interaction: Study Of An Approximated Model And Asymptotic Analysis ⋮ Interaction between algae and photons: Derivation of a simplified model

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Analysis of the self-shading effect on algal vertical distribution in natural waters
• Global stability of stationary solutions to a nonlinear diffusion equation in phytoplankton dynamics
• Mutual shading effect on algal distribution: a nonlinear problem
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