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- W2621298081 abstract "In this paper, we propose an epidemic model with age-structure in the exposed and infectious classes for a disease like hepatitis-B. Asymptotic smoothness of semi-flow generated by the model is studied. By calculating the basic reproduction number and analyzing the characteristic equation, we study the local stability of disease-free and endemic steady states. By using Lyapunov functionals and LaSalle’s invariance principle, it is proved that if the basic reproduction number is less than unity, the disease-free steady state is globally asymptotically stable; if the basic reproduction number is greater than unity, the endemic steady state is globally asymptotically stable.https://doi.org/10.28919/cmbn/3337" @default.
- W2621298081 created "2017-06-09" @default.
- W2621298081 date "2017-01-01" @default.
- W2621298081 modified "2023-09-26" @default.
- W2621298081 title "The stability analysis of an epidemic model with age-structure in the exposed and infectious classes" @default.
- W2621298081 doi "https://doi.org/10.28919/cmbn/3337" @default.
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