文章基本信息

标题：On the dynamics of a vaccination model with multiple transmission ways
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作者：Shu Liao ; Weiming Yang
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2013
卷号：23
期号：4
DOI：10.2478/amcs-2013-0057
出版社：De Gruyter Open
摘要：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
关键词：vaccination model; stability; equilibrium