Optimal control of a nonlinear elliptic population system

DOI10.1017/S0013091500020897zbMath0944.35010MaRDI QIDQ4488179

Juan A. Montero, Ovide Arino

Publication date: 9 July 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesslower-upper solutionsstrongly sublinear operators

Mathematics Subject Classification ID

Related Items (15)

Positive solutions of an elliptic system modeling a population with two age groups ⋮ OPTIMAL CONTROL OF HARVESTING IN A PARABOLIC SYSTEM MODELING TWO SUBPOPULATIONS ⋮ An elliptic system modeling two subpopulations ⋮ A Time-Dependent Optimal Harvesting Problem with Measure-Valued Solutions ⋮ On a system of reaction--diffusion equations describing a population with two age groups ⋮ Measure valued solutions for an optimal harvesting problem ⋮ Optimal strategies for a time-dependent harvesting problem ⋮ Steady states of a nonlinear elliptic system arising from population dynamics ⋮ An optimal control problem of a coupled nonlinear parabolic population system ⋮ A STUDY OF THE PROFITABILITY FOR AN OPTIMAL CONTROL PROBLEM WHEN THE SIZE OF THE DOMAIN CHANGES ⋮ Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics ⋮ Coexistence states of an elliptic system modeling a population with two age groups ⋮ Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part ⋮ Method of lower and upper solutions for elliptic systems with nonlinear boundary condition and its applications ⋮ Existence and stability of positive solutions for an elliptic cooperative system

Cites Work

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• Periodic optimal control for competing parabolic Volterra-Lotka-type systems
• Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems
• Optimal control for elliptic Volterra-Lotka type equations
• Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect
• 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
• On maximum principles for cooperative elliptic systems via fixed point index

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