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Optimal intervention strategy for prevention tuberculosis using a smoking-tuberculosis model. (English) Zbl 1343.92466
Summary: 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.

MSC:
92D30 Epidemiology
49N90 Applications of optimal control and differential games
Software:
car
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