Moualeu-Ngangue, Dany Pascal; Roeblitz, Susanna; Ehrig, Rainald; Deuflhard, Peter: Parameter Identification in a Tuberculosis Model for Cameroon. In: PloS ONE 10 (2015), Nr. 4, UNSP e0120607. DOI: http://dx.doi.org/10.1371/journal.pone.0120607
Abstract: | |
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. | |
License of this version: | CC BY 4.0 Unported |
Document Type: | Article |
Publishing status: | publishedVersion |
Issue Date: | 2015-04-13 |
Appears in Collections: | Naturwissenschaftliche Fakultät |
pos. | country | downloads | ||
---|---|---|---|---|
total | perc. | |||
1 | Germany | 145 | 62.77% | |
2 | United States | 25 | 10.82% | |
3 | No geo information available | 10 | 4.33% | |
4 | Russian Federation | 10 | 4.33% | |
5 | China | 10 | 4.33% | |
6 | Ukraine | 3 | 1.30% | |
7 | India | 3 | 1.30% | |
8 | Brazil | 3 | 1.30% | |
9 | United Kingdom | 2 | 0.87% | |
10 | Chile | 2 | 0.87% | |
other countries | 18 | 7.79% |
Hinweis
Zur Erhebung der Downloadstatistiken kommen entsprechend dem „COUNTER Code of Practice for e-Resources“ international anerkannte Regeln und Normen zur Anwendung. COUNTER ist eine internationale Non-Profit-Organisation, in der Bibliotheksverbände, Datenbankanbieter und Verlage gemeinsam an Standards zur Erhebung, Speicherung und Verarbeitung von Nutzungsdaten elektronischer Ressourcen arbeiten, welche so Objektivität und Vergleichbarkeit gewährleisten sollen. Es werden hierbei ausschließlich Zugriffe auf die entsprechenden Volltexte ausgewertet, keine Aufrufe der Website an sich.