The paper extended the previous model by adding the effect of the permanent resident on the migrants. The numerical simulation indicated that the basic reproductive numbers should be less than one in permanent residents and migrants in order to eliminate disease from the population. Evaluation on the TB-Screen Strategy of Canada showed that the epidemic of TB was sensitive to the TB control strategies.
Citation:
JIA Zhongwei,CHENG Shiming,CHEN Wei,JIA Xiaowei. Mathematical Model of Evaluation on TB-Screen Strategy△. Chinese Journal of Evidence-Based Medicine, 2011, 11(3): 329-332. doi: 10.7507/1672-2531.20110055
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- 1. 1 Frost RH. Tuberculosis at the mid-century.
J Lancet , 1952, 71(4): 124-126.
- 2. Comstock GW, Ferebee SH, Mounth FW. Critical evaluation of a recent trial of isoniazid prophylaxis. Drugs Made Ger , 1961, 39: 678-682.
- 3. Frimodt-Moller J. A community-wide tuberculosis study in a South Indian rural population, 1950-1955. Bull World Health Organ , 1960, 22: 61-170.
- 4. Waaler H, Geser A, Andersen S. The use of mathematical models in the study of the epidemiology of tuberculosis. Ame J Pub Hlth , 1962, 52(6): 1002-1013.
- 5. Castillo-Chavez C, Feng Z. To treat or not to treat: the case of tuberculosis. J Math Biol , 1997, 35: 629-656.
- 6. Blower SM, Mclean AR, Porco TC, et al . The intrinsic transmission dynamics of tuberculosis epidemic. Nature Medicine , 1995, 1(8): 815-821.
- 7. Dye C, Williams BG. Criteria for the control of drug-resistant tuberculosis. PNAS , 2000, 97(4): 8180-8185.
- 8. 安燕生, 张立兴, 屠德华. 流动(非北京市户籍)人口对北京市结核病流行的影响. 中国防痨杂志, 2004, 26: 319-323.
- 9. Jia ZW, Tang GY, Jin Z, et al . Modeling the impact of immigration on the epidemiology of tuberculosis. Theor Popul Biol , 2008, 73(3): 437-448.