<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On the dynamics of a vaccination model with multiple transmission ways

School of Mathematics and Statistics Chongqing Technology and Business University, Chongqing, 400067, China

International Journal of Applied Mathematics and Computer Science

{"article-title":"On the dynamics of a vaccination model with multiple transmission ways"}

In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the...

On the dynamics of a vaccination model with multiple transmission ways

Published Online: Dec 31, 2013

Page range: 761 - 772

DOI: https://doi.org/10.2478/amcs-2013-0057

This content is open access.