On fractional order models for Hepatitis C.

E Ahmed, H A El-Saka
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Abstract

In this paper we present a fractional order generalization of Perelson et al. basic hepatitis C virus (HCV) model including an immune response term. We argue that fractional order equations are more suitable than integer order ones in modeling complex systems which include biological systems. The model is presented and discussed. Also we argue that the added immune response term represents some basic properties of the immune system and that it should be included to study longer term behavior of the disease.

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关于丙型肝炎的分数阶模型
在本文中,我们介绍了 Perelson 等人的丙型肝炎病毒(HCV)基本模型的分数阶一般化,其中包括一个免疫反应项。我们认为,在包括生物系统在内的复杂系统建模中,分数阶方程比整数阶方程更合适。我们对模型进行了介绍和讨论。此外,我们还认为,添加的免疫反应项代表了免疫系统的一些基本特性,因此应将其包含在内,以研究疾病的长期行为。
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