A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities
A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities作者机构：Department of Mathematics and Computer Science Ngaoundéré University Ngaoundere Cameroon
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2014年第5卷第4期
页 面：707-722页
学科分类：1002[医学-临床医学] 100214[医学-肿瘤学] 10[医学]
主 题：A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities
摘 要：A SEI model for hepatitis B is constructed where the susceptibility and other crucial transmission probabilities depend on the chronological age and the basic reproduction rate R0 is derived. Under suitable (biological and mathematical) assumptions in a closed population, results of Houpa D. D. E. et al. [1] are extended from constant case of p and q to age-dependent case: the disease-free equilibrium is globally asymptotically stable (GAS) if R0 . On the other hand, R0 1 induces that endemic equilibrium is GAS and the system is uniformly persistent.
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