IJPAM: Volume 116, No. 2 (2017)




Azmy S. Ackleh$^1$, Karyn L. Sutton$^2$
$^{1,2}$Department of Mathematics
University of Louisiana at Lafayette
P.O. Box 43568, Lafayette, LA 70504-3568, USA


We recently developed a model of Mycobacterium marinum (Mm) transmission dynamics in aquatic animals in [1]. Mm is a close genetic relative to the bacterium that causes human TB, and affects marine mammals on the same scale and with similarly varied disease presentation. It is evident that for a mathematical model to agree with laboratory infection studies and common observations, it is necessary to address the disparate outcomes explicitly, namely, the large pool of chronically but asymptomatically infected individuals, and individuals with acute infections. Here, we demonstrate that we can improve upon the agreement between the model and data by taking a simpler (fewer cohorts of fish), but more biologically meaningful modeling approach. We briefly also demonstrate that this phenomenological approach, particularly in conjunction with experiments, may be useful to provide support for or against hypotheses of underlying processes driving this and potentially other infections with a large pool of chronically infected individuals.


Received: 2017-01-13
Revised: 2017-08-05
Published: October 7, 2017

AMS Classification, Key Words

AMS Subject Classification: 92C99, 92D30
Key Words and Phrases: progression variability, intra-host model, Mycobacterium marinum, physiologically structured models

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How to Cite?

DOI: 10.12732/ijpam.v116i2.5 How to cite this paper?

International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 116
Issue: 2
Pages: 343 - 352

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