On the dynamics of a vaccination model with multiple transmission ways

Shu Liao; Weiming Yang

doi:10.2478/amcs-2013-0057

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On the dynamics of a vaccination model with multiple transmission ways

International Journal of Applied Mathematics and Computer Science

Volume 23 (2013): Issue 4 (December 2013)

By: Shu Liao and Weiming Yang

Open Access

|Dec 2013

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.

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