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2018 On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination
Stanislas Ouaro, Ali Traoré
Int. J. Differ. Equ. 2018(SI1): 1-11 (2018). DOI: 10.1155/2018/4168061


We study a vector-borne disease with age of vaccination. A nonlinear incidence rate including mass action and saturating incidence as special cases is considered. The global dynamics of the equilibria are investigated and we show that if the basic reproduction number is less than 1, then the disease-free equilibrium is globally asymptotically stable; that is, the disease dies out, while if the basic reproduction number is larger than 1, then the endemic equilibrium is globally asymptotically stable, which means that the disease persists in the population. Using the basic reproduction number, we derive a vaccination coverage rate that is required for disease control and elimination.


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Stanislas Ouaro. Ali Traoré. "On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination." Int. J. Differ. Equ. 2018 (SI1) 1 - 11, 2018.


Received: 22 August 2017; Revised: 11 January 2018; Accepted: 8 February 2018; Published: 2018
First available in Project Euclid: 12 April 2018

zbMATH: 06915952
MathSciNet: MR3779743
Digital Object Identifier: 10.1155/2018/4168061

Rights: Copyright © 2018 Hindawi


Vol.2018 • No. SI1 • 2018
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