Dynamic analysis of a hepatitis B model with three-age-classes

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• 作者：Suxia Zhang ; Yicang Zhou
• 关键词：Hepatitis B ; Mathematical model ; Three-age-classes ; Stability ; Uniform persistence
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：July, 2014
• 年：2014
• 卷：19
• 期：7
• 页码：2466-2478
• 全文大小：803 K

文摘

Based on the fact that the likelihood of becoming chronically infected is dependent on age at primary infection Kane (1995) [2], Edmunds et al. (1993) [3], Medley et al. (2001) [4], and Ganem and Prince (2004) [6], we formulate a hepatitis B transmission model with three age classes. The reproduction number, is defined and the dynamical behavior of the model is analyzed. It is proved that the disease-free equilibrium is globally stable if , and there exists at least one endemic equilibrium and that the disease is uniformly persistent if . The unique endemic equilibrium and its global stability is obtained in a special case. Simulations are also conducted to compare the dynamical behavior of the model with and without age classes.