Repository: Freie Universität Berlin, Math Department

Parameter Identification in a Tuberculosis Model for Cameroon

Moualeu-Ngangue, D. P. and Röblitz, S. and Ehrig, R. and Deuflhard, P. (2015) Parameter Identification in a Tuberculosis Model for Cameroon. PLoS ONE, 10 (4). e0120607. ISSN 1932-6203

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A deterministic model of tuberculosis in Cameroon is designed and analyzed with respect to its transmission dynamics. The model includes lack of access to treatment and weak diagnosis capacity as well as both frequency- and density-dependent transmissions. It is shown that the model is mathematically well-posed and epidemiologically reasonable. Solutions are non-negative and bounded whenever the initial values are non-negative. A sensitivity analysis of model parameters is performed and the most sensitive ones are identified by means of a state-of-the-art Gauss-Newton method. In particular, parameters representing the proportion of individuals having access to medical facilities are seen to have a large impact on the dynamics of the disease. The model predicts that a gradual increase of these parameters could significantly reduce the disease burden on the population within the next 15 years.

Item Type:Article
Subjects:Biological Sciences > Microbiology > Bacteriology
Biological Sciences > Microbiology > Medical and Veterinary Microbiology > Medical Microbiology
Mathematical and Computer Sciences
Biological Sciences > Microbiology > Virology
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group
ID Code:1764
Deposited By: BioComp Admin
Deposited On:06 Jan 2016 10:45
Last Modified:06 Jan 2016 10:45

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