Modeling and parameter Estimation of tuberculosis with Application to Cameroon
نویسندگان
چکیده
SAMUEL BOWONG∗,†,§ and JURGEN KURTHS†,‡,¶ ∗Laboratory of Applied Mathematics, Department of Mathematics and Computer Science, Faculty of Science, University of Douala, P. O. Box 24157 Douala, Cameroon †Postdam Institute for Climate Impact Research (PIK ), Telegraphenberg A 31, 14412 Potsdam, Germany ‡Department of Physics, Humboldt Universitat zu Berlin, 12489 Berlin, Germany §[email protected] ¶[email protected]
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A tuberculosis (TB) model with lost sight and multiple latent classes is considered and studied. We derive the basic reproduction ratio $mathcal R_0$. There is always a globally asymptotically stable equilibrium state. Depending on the value of $mathcal{R}_0$, this state can be either endemic ($mathcal{R}_0> 1$), or infection-free ($mathcal{R}_0leq 1$). The global asymptotic stability of ...
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Article history: Received 6 May 2010 Received in revised form 14 June 2010 Accepted 2 September 2010 Available online 6 September 2010 Communicated by A.R. Bishop
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 21 شماره
صفحات -
تاریخ انتشار 2011