ON THE DYNAMICS OF A VACCINATION MODEL WITH MULTIPLE TRANSMISSION WAYS

被引：16

作者：

Liao, Shu ^{[1
]}

Yang, Weiming ^{[1
]}

机构：

[1] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2013年 / 23卷 / 04期

关键词：

vaccination model; stability; equilibrium; SIS EPIDEMIC MODEL; BACKWARD BIFURCATION; REPRODUCTION NUMBERS; SENSITIVITY-ANALYSIS; MATHEMATICAL-MODEL; GLOBAL STABILITY; CHOLERA; TUBERCULOSIS; UNCERTAINTY; INFECTION;

D O I：

10.2478/amcs-2013-0057

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：761 / 772

页数：12

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