Share Email Print
cover

Proceedings Paper

Optimal control in a model of malaria with differential susceptibility
Author(s): Doracelly Hincapié; Juan Ospina
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

A malaria model with differential susceptibility is analyzed using the optimal control technique. In the model the human population is classified as susceptible, infected and recovered. Susceptibility is assumed dependent on genetic, physiological, or social characteristics that vary between individuals. The model is described by a system of differential equations that relate the human and vector populations, so that the infection is transmitted to humans by vectors, and the infection is transmitted to vectors by humans. The model considered is analyzed using the optimal control method when the control consists in using of insecticide-treated nets and educational campaigns; and the optimality criterion is to minimize the number of infected humans, while keeping the cost as low as is possible. One first goal is to determine the effects of differential susceptibility in the proposed control mechanism; and the second goal is to determine the algebraic form of the basic reproductive number of the model. All computations are performed using computer algebra, specifically Maple. It is claimed that the analytical results obtained are important for the design and implementation of control measures for malaria. It is suggested some future investigations such as the application of the method to other vector-borne diseases such as dengue or yellow fever; and also it is suggested the possible application of free software of computer algebra like Maxima.

Paper Details

Date Published: 5 June 2014
PDF: 11 pages
Proc. SPIE 9112, Sensing Technologies for Global Health, Military Medicine, and Environmental Monitoring IV, 91121P (5 June 2014); doi: 10.1117/12.2049782
Show Author Affiliations
Doracelly Hincapié, Univ. of Antioquia (Colombia)
Juan Ospina, Univ. EAFIT (Colombia)


Published in SPIE Proceedings Vol. 9112:
Sensing Technologies for Global Health, Military Medicine, and Environmental Monitoring IV
Šárka O. Southern; Mark A. Mentzer; Isaac Rodriguez-Chavez; Virginia E. Wotring, Editor(s)

© SPIE. Terms of Use
Back to Top