Exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics

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• 作者：Oluwaseun Y. Sharomi^a ; Mohammad A. Safi^b ; Abba B. Gumel ; ^c ; ^{agumel@asu.edu} ; David J. Gerberry^d
• 关键词：Backward bifurcation ; Equilibria ; Mycobacterium tuberculosis ; Reproduction number ; Re-infection ; Stability
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：298
• 期：Complete
• 页码：322-335
• 全文大小：886 K
• 卷排序：298

文摘

Exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics. Backward bifurcation in TB disease is more likely to occur if (a) the rates of re-infection and transmissibility of re-infected individuals are sufficiently high (b) the fraction of slow progressors is increased or if the rates of treatment and disease-induced mortality are increased. Backward bifurcation in TB disease is less likely to occur for increasing rate of endogenous re-activation of latent TB cases.