An age-structured epidemic model with waning immunity and general nonlinear incidence rate
An age-structured epidemic model with waning immunity and general nonlinear incidence rate作者机构：College of Mathematics and Statistics Xinyang Normal University Xinyang 464000 P. R. China
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2018年第11卷第5期
页 面：175-199页
核心收录：
学科分类：090603[农学-临床兽医学] 09[农学] 0906[农学-兽医学] 0904[农学-植物保护] 090401[农学-植物病理学] 090402[农学-农业昆虫与害虫防治] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：National Natural Science Foundation of China, NSFC, (11771374) National Natural Science Foundation of China, NSFC Xinyang Normal University, XYNU Henan Province University Innovation Talents Support Program Science and Technology Innovation Talents in Universities of Henan Province, (11671346, 17HASTIT011) Science and Technology Innovation Talents in Universities of Henan Province
主 题：Age-structure epidemic model nonlinear incidence rate basic reproduction number global stability Lyapunov functional.
摘 要：In this paper, a susceptible-vazcinated-exposed-infectious-recovered epidemic model with waning immunity and continuous age structures in vaccinated, exposed and infectious classes has been formulated. By using the Fluctuation lemma and the approach of Lyapunov functionals, we establish a threshold dynamics completely determined by the basic reproduction number. When the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable, and otherwise the endemic steady state is globally asymptotically stable.
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