Journal Article

Why is the distribution of HTLV-I carriers geographically biased? An answer through a mathematical epidemic model

Nobuoki Eshima, Minoru Tabata and Tadashige Okada

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 24, issue 2, pages 149-167
Published in print June 2007 | ISSN: 1477-8599
Published online June 2007 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/dql027
Why is the distribution of HTLV-I carriers geographically biased? An answer through a mathematical epidemic model

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Human T-cell leukemia virus type I (HTLV-I) is a retrovirus that causes adult T-cell leukemia, and the distribution of HTLV-I carriers is endemically biased, e.g. in Japan the density of carriers is high in Kyushu and Okinawa. In order to consider population dynamics over long times taking account of an increase and a decrease of a population we propose a continuous-time HTLV-I model. The model describes population dynamics of carrier numbers and that of carrier proportions, and theoretical results about an increase and a decrease of carriers are obtained. The present approach derives an explanation of the biased distribution of carriers in Japan.

Keywords: differential equations; HTLV-I; mathematical epidemic model; population dynamics.

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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