Optimal control of treatments in a two-strain tuberculosis model

E. Jung; Suzanne Lenhart; Z. Feng

doi:10.3934/dcdsb.2002.2.473

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2002, Volume 2, Issue 4: 473-482. Doi: 10.3934/dcdsb.2002.2.473

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Optimal control of treatments in a two-strain tuberculosis model

1.
Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6367
2.
Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300
3.
Department of Mathematics, Purdue University, West Lafayette, IN 47907-1395

Received: September 30, 2001

Revised: March 31, 2002

Published: October 2002

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Abstract

Optimal control theory is applied to a system of ordinary differential equations modeling a two-strain tuberculosis model. Seeking to reduce the latent and infectious groups with the resistant-strain tuberculosis, we use controls representing two types of treatments. The optimal controls are characterized in terms of the optimality system, which is solved numerically for several scenarios.

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Mathematics Subject Classification: 34C60, 34K35, 49J15, 92D30.

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