Fractional-order delay differential equations for the dynamics of hepatitis C virus infection with IFN-α treatment

摘要: Abstract Herein, we propose a fractional-order delay differential model for the dynamics of Hepatitis-C Virus (HCV), with interferon- α (IFN- ) treatment. A derivative is considered to represent long-run immune memory required intermediate cellular interactions. discrete time-delay τ also incorporated intracellular between initial infection cell by HCV and release new virions. By using as bifurcation parameter, stability infection-free infected steady states investigated. The coefficients corresponding characteristic equation depend on , geometric switch criteria used study switching properties. has been verified real observations. Incorporating memory, in model, greatly enriches system improves consistency