International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 2013
Volume 23 - 2013

On the dynamics of a vaccination model with multiple transmission ways

Shu Liao, Weiming Yang

Abstract
In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity.

Keywords
vaccination model, stability, equilibrium

DOI
10.2478/amcs-2013-0057