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AIP Conf. Proc. / Volume 1186 / Issue 1

Continuous Age-Structured Model for Bovine Tuberculosis in African buffalo

AIP Conf. Proc. -- October 29, 2009 -- Volume 1186, pp. 443-450
1ST INTERNATIONAL CONFERENCE ON APPLICATIONS OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES; doi:10.1063/1.3265359

Issue Date: 29 October 2009

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ABSTRACT

R. Anguelov^a,b and H. Kojouharov^c
^aDepartment of Mathematics and Applied Mathematics, University of Pretoria, South Africa
^bInstitute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
^cDepartment of Mathematics, University of Texas at Arlington, TX, USA

Thepaper deals with a model of the spread of bovinetuberculosis in the buffalo population in the Kruger National Parkin South Africa. The model uses continuous age structure andit is formulated in terms of partial differential equations usingeight epidemiological classes (compartments). More precisely, the age density foreach class at time t satisfies a one way waveequation, where the age is the space variable. The continuousage model discussed here is derived from a 2006 agegroups model by P. C. Cross and W. M. Getz. ©2009 American Institute of Physics

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http://link.aip.org/link/?APCPCS/1186/443/1

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