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November  2002, 2(4): 473-482. doi: 10.3934/dcdsb.2002.2.473

Optimal control of treatments in a two-strain tuberculosis model

E. Jung 1, , Suzanne Lenhart 2, and  Z. Feng 3,

1. 

Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6367, United States
2. 

Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300, United States
3. 

Department of Mathematics, Purdue University, West Lafayette, IN 47907-1395, United States

Received  October 2001 Revised  April 2002 Published  August 2002

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.
Keywords: Mathematical model, antibiotic resistance., tuberculosis, optimal control.
Mathematics Subject Classification: 34C60, 34K35, 49J15, 92D3.
Citation: E. Jung, Suzanne Lenhart, Z. Feng. Optimal control of treatments in a two-strain tuberculosis model. Discrete & Continuous Dynamical Systems - B, 2002, 2 (4) : 473-482. doi: 10.3934/dcdsb.2002.2.473
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