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• W2057386301 abstract "In this paper, an SEIR epidemic model for a disease with age-dependent latency and relapse is proposed. Such a model is very appropriate for tuberculosis and herpes. The basic reproduction number ℜ0 is defined and proved as a classic threshold parameter. Asymptotic smoothness of solutions and uniform persistence of the system are shown via reformulating the system as a system of Volterra integral equations. The local stability and global stability of equilibria are obtained by analyzing the corresponding characteristic equations and constructing the proper Volterra-type Lyapunov functionals, respectively. Finally, some special cases of the model as key functions reducing to constant are discussed in the last section." @default.
• W2057386301 created "2016-06-24" @default.
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• W2057386301 date "2015-08-01" @default.
• W2057386301 modified "2023-10-09" @default.
• W2057386301 title "Global stability of an SEIR epidemic model with age-dependent latency and relapse" @default.
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• W2057386301 doi "https://doi.org/10.1016/j.nonrwa.2015.01.001" @default.
• W2057386301 hasPublicationYear "2015" @default.
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