MedicineMathematics

Eunok Jung, S. Lenhart, Zhilan Feng

2002.8.1DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

DOI: 10.3934/dcdsb.2002.2.473

tlooto Summary

Seeking to reduce the latent and infectious groups with the resistant-strain tuberculosis, controls representing two types of treatments are used, characterized in terms of the optimality system, which is solved numerically for several scenarios.

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.

Citation format

JUNG, Eunok; LENHART, S.; FENG, Zhilan. Optimal control of treatments in a two-strain tuberculosis model. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2002, 2: 473–482.