摘要
研究了一个具有脉冲生育、脉冲接种和垂直传染的SIRS传染病模型的动力学行为,其中,脉冲生育和脉冲接种发生在不同时刻,得到了决定疾病流行与否的阈值.通过利用Poincaré映射和中心流形定理,讨论了地方病周期解的flip分岔.进一步,数值模拟较好地验证了理论分析.
The dynamical behaviors of an SIRS epidemic model with the effects of birth pulse, pulse vaccination and vertical transmission at different moments were studied. The threshold for a disease to be extinct or endemic was established. The Poincare map and center manifold theorem were used to discuss flip bifurcation of the endemic periodic solution. Numerical results for periodic solutions and bifurcation diagrams, which were illustrated with an example, were in good agreement with the theoretical analysis.
出处
《郑州大学学报（理学版）》
CAS
北大核心
2013年第2期31-36,共6页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金资助项目
编号11162004
60964006
广西省自然科学基金资助项目
编号2012GXNSFAA053006
广西省研究生教育创新计划资助项目
编号YCSZ2012072
关键词
SIRS传染病模型
垂直传染
脉冲接种
阈值
分岔
SIRS epidemic model
vertical transmission
pulse vaccination
threshold
bifurcation
