title: Optimal intervention strategy for prevention tuberculosis using a smoking-tuberculosis model.
abstract: In this paper, we developed a dynamic model of smoking-tuberculosis (TB) transmission in South Korea, and investigated the effects of control strategies on the number of incidence of TB using optimal control theory. Model parameters regarding TB and smoking are estimated through least-squares fitting to real data. We considered three TB controls (distancing, case-finding, and case-holding) and two smoking controls (distancing and quitting), in order to minimize the number of exposed and infectious individuals and the cost of control. Numerical simulations for the various control strategies highlight that implementing the smoking controls, not with TB controls, can effectively reduce the incidence of TB transmission.
authors.affiliation: Department of Mathematics, Konkuk University, 120 Neungdong-ro, Gwngjin-gu, Seoul 143-701, Republic of Korea.
authors.forename: Sunhwa
authors.initials: S
authors.lastname: Choi
authors.affiliation: Department of Mathematics, Konkuk University, 120 Neungdong-ro, Gwngjin-gu, Seoul 143-701, Republic of Korea.
authors.forename: Eunok
authors.initials: E
authors.lastname: Jung
authors.affiliation: Department of Liberal Arts, College of Engineering, Hongik University, 94 Wausan-ro, Mapo-gu, Seoul 121-791, Republic of Korea. Electronic address: sherwood@hongik.ac.kr.
authors.forename: Seok-Min
authors.initials: SM
authors.lastname: Lee
mesh_terms: D016022:Case-Control Studies; D006801:Humans; D008962:Models, Theoretical; D056910:Republic of Korea / Q000453:epidemiology; D012907:Smoking; D014376:Tuberculosis / Q000453:epidemiology / Q000517:prevention & control*
keywords: Epidemic model; Optimal control theory; Parameter estimation