Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics
From MaRDI portal
Publication:5930143
DOI10.1006/jmaa.2000.7239zbMath0982.49005OpenAlexW2004664780MaRDI QIDQ5930143
No author found.
Publication date: 11 April 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2000.7239
Population dynamics (general) (92D25) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (19)
Existence of optimal controls via continuous dependence on parameters ⋮ 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 ⋮ On a system of reaction--diffusion equations describing a population with two age groups ⋮ Existence of solutions of a superlinear elliptic system at resonance ⋮ The structure of optimal solutions for harvesting a renewable resource ⋮ Existence of positive solutions for second-order Neumann difference system ⋮ Spacial structure in a juvenile-adult model ⋮ Steady states of a nonlinear elliptic system arising from population dynamics ⋮ An optimal control problem of a coupled nonlinear parabolic population system ⋮ Coexistence states of an elliptic system modeling a population with two age groups ⋮ Optimal control problems for semilinear non-well-posed parabolic differential equations ⋮ Optimal harvesting problems for age-dependent interacting species with diffusion ⋮ On positive solutions for a class of singular quasilinear elliptic systems ⋮ 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 ⋮ Optimal control of harvesting for age-dependent predator-prey system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong positivity in \(C(\bar\Omega)\) for elliptic systems
- Some new applications of the method of lower and upper solutions to elliptic problems
- Periodic optimal control for competing parabolic Volterra-Lotka-type systems
- Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems
- Elliptic systems with nonlinear diffusion in population dynamics
- A uniqueness result for an optimal control problem on a diffusive elliptic Volterra-Lotka type equation
- Optimal control for elliptic Volterra-Lotka type equations
- On the number of solutions of nonlinear equations in ordered Banach spaces
- 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
- Optimal control of a nonlinear elliptic population system
- OPTIMAL CONTROL OF HARVESTING IN A PARABOLIC SYSTEM MODELING TWO SUBPOPULATIONS
This page was built for publication: Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics
