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Zbl 1172.92023
Hattaf, K.; Rachik, M.; Saadi, S.; Tabit, Y.; Yousfi, N.
Optimal control of tuberculosis with exogenous reinfection. (English)
[J] Appl. Math. Sci., Ruse 3, No. 5-8, 231-240 (2009). ISSN 1312-885X; ISSN 1314-7552/e

Summary: The aim of this work is the application of optimal control for a system of ordinary differential equations modeling a tuberculosis disease with exogenous reinfection. Seeking to reduce the infectious group by the reduction of the contact between infectious and exposed individuals, we use a control representing the prevention of exogenous reinfection. Pontryagin's maximum principle is used to characterize the optimal control. The optimality system is derived and solved numerically.

MSC 2000:: *92C60 Medical epidemiology
49K15 Optimal control problems with ODE (nec./ suff.)
49N90 Applications of optimal control and differential games
92D30 Epidemiology
65K10 Optimization techniques (numerical methods)

Keywords: optimal control; exogenous reinfection; tuberculosis; TB model with exogenous reinfection

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