Population dynamics of HTLV-I infection: a discrete-time mathematical epidemic model approach.

Population dynamics of HTLV-I infection: a discrete-time mathematical epidemic model approach.
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DOI:
10.1093/imammb/20.1.29
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发表时间:
2003-03
期刊:
Mathematical medicine and biology : a journal of the IMA
影响因子:
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通讯作者:
N. Eshima;M. Tabata;Tadashige Okada;S. Karukaya
N. Eshima;M. Tabata;Tadashige Okada;S. Karukaya
中科院分区:
其他
文献类型:
--
作者:
N. Eshima;M. Tabata;Tadashige Okada;S. Karukaya

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人类T细胞白血病病毒I型(HTLV-I)是一种导致成人T细胞白血病(ATL)的逆转录病毒。HTLV-I的传播途径是(i)由受感染的母亲传给新生婴儿,(ii)由受感染的男性(丈夫)经长期性交传给女性(妻子),以及(iii)由受感染的女性(妻子)传给男性(丈夫)。Eshima等人(2001年)分析了一个连续时间HTLV-I模型,人群中没有年龄结构。在本文中,我们考虑HTLV-I感染的人口动态的离散时间的数学模型,包括年龄结构。从数学模型出发,导出了HTLV-I灭绝的充分必要条件。基于该模型的HTLV-I感染模拟表明,日本HTLV-I感染比例迅速下降。
Human T-cell Leukaemia Virus Type I (HTLV-I) is a retrovirus that causes Adult T-cell Leukaemia (ATL). The transmission routes of HTLV-I are (i) from infected mothers to their newborn babies, (ii) from infected males (husbands) to females (their wives) by long-term sexual intercourse, and (iii) from infected females (wives) to males (their husbands). Eshima et al. (2001) analysed a continuous-time HTLV-I model with no age structure in the population. In this paper, we consider the population dynamics of HTLV-I infection in a discrete-time mathematical model incorporating an age structure. The necessary and sufficient condition for the extinction of HTLV-I is derived from the mathematical model. A simulation of the HTLV-I infection based on the model demonstrates a rapid reduction of the HTLV-I infection proportion in Japan.