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A structural identifiability analysis is performed on a mathematical model for the coupled transmission of two classes of pathogen. The pathogens, classified as major and minor, are aetiological agents of mastitis in dairy cows that interact directly and via the immunological reaction in their hosts. Parameter estimates are available from experimental data for all but four of the parameters in the model. Data from a longitudinal study of infection are used to estimate these unknown parameters. A novel approach and application of structural identifiability analysis is combined in this paper with the estimation of cross-protection parameters using epidemiological data.

Original publication

DOI

10.1016/s0025-5564(01)00080-3

Type

Journal article

Journal

Math Biosci

Publication Date

12/2001

Volume

174

Pages

77 - 90

Keywords

Animals, Cattle, Corynebacterium Infections, Disease Transmission, Infectious, Female, Mastitis, Bovine, Micrococcaceae, Models, Biological, Staphylococcal Infections, Streptococcal Infections