Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect

DOI10.1051/cocv:1997100zbMath0868.49004OpenAlexW2045349945MaRDI QIDQ3127356

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Publication date: 8 April 1997

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/90506

zbMATH Keywords

optimal controliterative approximationoptimality systemadmissible controlpartial differential equation of Lotka-Volterra type

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Population dynamics (general) (92D25) Existence theories for optimal control problems involving partial differential equations (49J20)

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A uniqueness result for an optimal control problem on a diffusive elliptic Volterra-Lotka type equation ⋮ Optimal control of a nonlinear elliptic population system

Cites Work

• Direct methods for some distributed games
• Positive solutions to general elliptic competition models
• Optimal control for elliptic Volterra-Lotka type equations
• Bifurcation of steady-state solutions in predator-prey and competition systems
• Optimal Damping Control and Nonlinear Elliptic Systems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Study of an Optimal Control Problem for Diffusive Nonlinear Elliptic Equations of Logistic Type
• Periodic optimal control for parabolic Volterra‐Lotka type equations
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