Dynamics analysis of an amended HBV infection model with a simulation for anti-HBV infection therapy

This paper introduces an amended hepatitis B virus (HBV) infection model with an immune response term and an alanine aminotransferase (ALT) term. It has been proved that if a basic virus reproductive number R <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</inf> < 1, then the virus free equilibrium point of the model is globally asymptotically stable; if R <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</inf> > 1, then the immune depletion equilibrium point of the model is globally asymptotically stable. This result implies that if an HBV infected patient has R <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</inf> < 1, then the patient will eventually recover even if infected with a large amount of virus. Simulating the dynamics of evolutions of serum HBV DNA levels and ALT levels for 115 Asians and 113 non-Asians HBeAg positive chronic hepatitis B (CHB) patients' Tenofovir Disoproxil Fumarate (TDF) 48 weeks therapy reported by C. Pan et al., the results show that TDF anti-HBV infection therapy may not only suppress the HBV DNA levels via destructing patients' infected hepatocytes but also activate patients' ability of cytokine-midiated non-cytolytic HBV clearance, which clears HBV directly without damaging patients' hepatocytes.

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