Optimal Control of a Tuberculosis Model with Chemoprophylaxis Treatment

Ya Li Yang; Jian Feng Cheng; Fang Chen; Ya Yi Xu

doi:10.4028/www.scientific.net/AMR.647.595

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 647Optimal Control of a Tuberculosis Model with...

Optimal Control of a Tuberculosis Model with Chemoprophylaxis Treatment

Abstract:

Seeking to reduce the latent and infectious tuberculosis groups, we use the control strategy which incorporates chemoprophylaxis treatment for latent infection. The optimal control is characterized in terms of the optimality system, and we characterize the optimal level of the control strategy by using Pontryagin's Maximum Principle. Furthermore, we give the solved numerically for several scenarios.

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Periodical:

Advanced Materials Research (Volume 647)

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595-599

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https://doi.org/10.4028/www.scientific.net/AMR.647.595

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Online since:

January 2013

Authors:

Ya Li Yang, Jian Feng Cheng, Fang Chen, Ya Yi Xu

Keywords:

Chemoprophylaxis Treatment, Optimal Control, Pontryagin's Maximum Principle, Tuberculosis Model

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