Optimal control in world health problems: onchocerciasis control

Author

Chalifour, A. ; Delfour, M.C.

Author_Institution

Dept. of Chimie-Biol., Quebec Univ., Trois-Rivieres, Que., Canada

fYear

1990

fDate

5-7 Dec 1990

Firstpage

2949

Abstract

In some regions of the world black flies are the vector of serious endemic diseases such as onchocerciasis (river blindness). Theoretical and numerical solutions to the control of black fly larvae in running waters are presented. The problem is modeled by a diffusion-transport partial differential equation with impulse controls and state constraint. A mixed finite element method is used to solve the diffusion-transport equations. A special technique is developed to get around the combinatorial problem which naturally arises from the discretization of the impulse control problem. Solutions are presented for the 1D equations

Keywords

ecology; finite element analysis; health care; optimal control; partial differential equations; black flies; combinatorial problem; diffusion-transport partial differential equation; disease control; impulse controls; larva control; mixed finite element method; onchocerca volvulus; onchocerciasis; optimal control; pest control; river blindness; running waters; similium damnosum; state constraint; world health problems; Blindness; Helicopters; Humans; Optimal control; Parasitic diseases; Partial differential equations; Pathogens; Propagation losses; Rivers; Spraying;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203325

Filename

203325