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Title: Dynamics of a dengue epidemic model with class-age structure
Authors: Feng, WJ
Cai, LM
Liu, KH 
Keywords: Dengue epidemic model
Basic reproduction number
Global stability
Lyapunov functional
Class-age structure
Issue Date: 2017
Publisher: World Scientific
Source: International journal of biomathematics, 2017, v. 10, no. 8, 1750109 How to cite?
Journal: International journal of biomathematics 
Abstract: We introduce the class-age-dependent rates of the infected and vaccinated class in the compartmental model of dengue transmission. An age-structured host-vector interaction model incorporating vaccination effects is formulated and analyzed for the spread of dengue. Moreover, the basic reproduction number is derived, which serves as a threshold value determining the stability of the equilibrium points. By constructing suitable Lyapunov functional, the global asymptotic stability of the equilibria, of the model is established in terms of the basic reproduction number. In particular, the disease-free equilibrium of the model is globally asymptotically stable if the basic reproduction number is less than one, while the disease persists and the unique endemic equilibrium is globally asymptotically stable if the basic reproduction number is greater than one. The analysis of our model indicates that our model is realistic to give a. hint to control the transmission of dengue. Furthermore, it follows from the formulation of the infection-free equilibrium of susceptible humans S-h(0) and the basic reproduction number R-0 that both of them are decreasing with respect to the vaccination parameter psi(h), which indicates that appropriate vaccinating program may contribute to prevent the transmission of Dengue disease.
ISSN: 1793-5245
EISSN: 1793-7159
DOI: 10.1142/S1793524517501091
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