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.
Highlights
Hepatitis C is one of many serious infectious diseases affecting humans
Egypt has the highest rate of infections by hepatitis C virus (HCV) genotype 4
Chronic HCV infection is the main cause leading to liver transplant or death [1]
Summary
Hepatitis C is one of many serious infectious diseases affecting humans. An estimated about 170 million people worldwide are infected with hepatitis C. Egypt has the highest rate of infections by hepatitis C virus (HCV) genotype 4. Antiviral therapy has been used to treat chronically HCV infected patients. We present a fractional order generalization of a basic HCV model [2] including the immune response (Ir) term proposed in [3].
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