A mathematical model for Chagas disease with infection-age-dependent infectivity
A mathematical model for Chagas disease with infection-age-dependent infectivity
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DOI：
10.1016/j.mbs.2004.02.004
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发表时间：
2004-07-01
影响因子：
4.3
通讯作者：
Sekine, H
中科院分区：
文献类型：
--
作者：
Inaba, H;Sekine, H
在这篇文章中，我们建立了一个具有感染年龄相关传染性的恰加斯病的数学模型。考虑了媒介传播和输血传播的影响，感染人群按感染年龄(感染后经过的时间)构成。作者确定了基本繁殖比R-0，并证明了该病可以入侵到易感人群中，并且当R-0和1存在唯一的地方病稳定状态时，如果R-0足够小，则该病死亡。我们证明了依赖于参数，地方病稳态的后向分叉可能发生，因此即使R-0和lt；1，也可能存在地方病稳态。我们还讨论了定态的局部和全局稳定性。(C)2004 Elsevier Inc.保留所有权利。
In this paper we develop a mathematical model for Chagas disease with infection-age-dependent infectivity. The effects of vector and blood transfusion transmission are considered, and the infected population is structured by the infection age (the time elapsed from infection). The authors identify the basic reproduction ratio R-0 and show that the disease can invade into the susceptible population and unique endemic steady state exists if R-0 > 1, whereas the disease dies out if R-0 is small enough. We show that depending on parameters, backward bifurcation of endemic steady state can occur, so even if R-0 < 1, there could exist endemic steady states. We also discuss local and global stability of steady states. (C) 2004 Elsevier Inc. All rights reserved.