 Modeling the impact of immigration on the epidemiology of tuberculosisZhong-Wei Jia, Gong-You Tang, Zhen Jin, Christopher Dye, Sake J. Vlas, Xiao-Wen Li, Dan Feng, Li-Qun Fang, Wen-Juan Zhao and Wu-Chun Cao Theoretical Population Biology, 2008, vol. 73, issue 3, 437-448 Abstract: This paper presents two new theoretical frameworks to investigate the impact of immigration on the transmission dynamics of tuberculosis. For the basic model, we present new analysis on the existence and stability of equilibria. Then, we use numerical simulations of the model to illustrate the behavior of the system. We apply the model to Canadian reported data on tuberculosis and observe a good agreement between the model prediction and the data. For the extended model, which incorporated the recruitment of the latent and infectious in immigrants to the basic model, we find that the usual threshold condition does not apply and a unique equilibrium exists for all parameter values. This indicates that the disease does not disappear and becomes endemic in host areas. This finding is also supported by numerical simulations with the extended model. Our study suggests that immigrants have a considerable influence on the overall transmission dynamics behavior of tuberculosis. Keywords: Tuberculosis; Immigrant; Endemic equilibrium; Threshold parameter; Global asymptotic stability (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:73:y:2008:i:3:p:437-448 DOI: 10.1016/j.tpb.2007.12.007 Access Statistics for this article Theoretical Population Biology is currently edited by Jeremy Van Cleve More articles in Theoretical Population Biology from Elsevier |
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