Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS(2023)

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摘要
We present a Caputo fractional order mathematical model that describes the cellular infection of the Hepatitis B virus and the immune response of the body with Holling type II functional response. We study the existence of unique positive solutions and the local and global stability of virus-free and endemic equilibria. Finally, we present numerical results using the Adam-type predictor-corrector iterative scheme.
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关键词
Caputo derivative,hepatitis B,Ulam-Hyers stability,predictor-corrector algorithm,global stability,local stability,Routh-Hurwitz
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