Optimal Control of the Lost to Follow Up in a Tuberculosis Model | Zendy

Yves Emvudu | Zendy; Ramsés DjidjouDemasse | Zendy; Dany Djeudeu | Zendy

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Optimal Control of the Lost to Follow Up in a Tuberculosis Model

Author(s) -

Yves Emvudu,

Ramsés DjidjouDemasse,

Dany Djeudeu

Publication year - 2011

Publication title -

computational and mathematical methods in medicine

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.462

H-Index - 48

eISSN - 1748-6718

pISSN - 1748-670X

DOI - 10.1155/2011/398476

Subject(s) - pontryagin's minimum principle , optimal control , context (archaeology) , maximum principle , control (management) , mathematical optimization , mathematics , class (philosophy) , control theory (sociology) , basic reproduction number , transmission (telecommunications) , computer science , medicine , population , biology , artificial intelligence , paleontology , telecommunications , environmental health

This paper deals with the problem of optimal control for the transmission dynamics of tuberculosis (TB). A TB model that considers the existence of a new class (mainly in the African context) is considered: the lost to follow up individuals. Based on the model formulated and studied in the work of Plaire Tchinda Mouofo, (2009), the TB control is formulated and solved as an optimal control theory problem using the Pontryagin's maximum principle (Pontryagin et al., 1992). This control strategy indicates how the control of the lost to follow up class can considerably influence the basic reproduction ratio so as to reduce the number of lost to follow up. Numerical results show the performance of the optimization strategy.

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