Optimal Distribution of Larvicide in Running Waters
Copyright policy )Optimal Distribution of Larvicide in Running Waters
The authors consider the following control problem: At what locations should larvicide be injected into a river such that a (given) minimum dose is maintained throughout and such that the total amount of larvicide sprayed is minimized? It is the object of the paper to derive a mathematical model for this problem (a diffusion-transport equation with impulse controls and state constraints plus suitable boundary conditions), to study some of its analytic properties and, finally, to solve the problem numerically in space dimension one using a mixed discontinuous finite element method.
Numerical optimization and variational techniques, impulse controls, Numerical methods based on nonlinear programming, Epidemiology, diffusion-transport equation, state constraints, onchocerciasis, river blindness, Existence theories for optimal control problems involving partial differential equations, Differential games and control, mixed discontinuous finite element method, health problems, Pursuit and evasion games, boundary conditions, one-dimensional case, control of black fly larvae in running waters, Stability and convergence of numerical methods for ordinary differential equations
Numerical optimization and variational techniques, impulse controls, Numerical methods based on nonlinear programming, Epidemiology, diffusion-transport equation, state constraints, onchocerciasis, river blindness, Existence theories for optimal control problems involving partial differential equations, Differential games and control, mixed discontinuous finite element method, health problems, Pursuit and evasion games, boundary conditions, one-dimensional case, control of black fly larvae in running waters, Stability and convergence of numerical methods for ordinary differential equations
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