Applied Mathematics Seminar

The dynamical analysis of HBV models with infection age
Friday, 7 April 2017 - 12:00 pm to 12:30 pm
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SPEAKER: Suxia Zhang (N/A)             ABSTRACT: Hepatitis B is a potentially life-threatening liver infection caused by the hepatitis B virus (HBV). It is a major global health problem since it can cause chronic infection and puts people at high risk of death from cirrhosis and liver cancer. It has been increasingly noticed that the probability of becoming chronic infection is highly dependent on the age of hosts, and the progression of acute and chronic stages of HBV is affected by the time that has passed since the infection. In this talk, I will analyze two HBV models with infection age structure to investigate the impact of age structure on the HBV transmission dynamics with both acute and chronic stages. The mathematical analysis shows that dynamic behaviors of the model systems are completely determined by the basic reproductive number. The proof of global stability of endemic equilibrium utilizes a Lyapunov functional.