• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mathematical Problems in Engineering >Stability and Hopf Bifurcation Analysis of an Epidemic Model by Using the Method of Multiple Scales
【24h】

Stability and Hopf Bifurcation Analysis of an Epidemic Model by Using the Method of Multiple Scales

机译：基于多尺度方法的流行病模型的稳定性和Hopf分支分析

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

A delayed epidemic model with nonlinear incidence rate which depends on the ratio of the numbers of susceptible and infectious individuals is considered. By analyzing the corresponding characteristic equations, the effects of time delay on the stability of the equilibria are studied. By choosing time delay as bifurcation parameter, the critical value of time delay at which a Hopf bifurcation occurs is obtained. In order to derive the normal form of the Hopf bifurcation, an extended method of multiple scales is developed and used. Then, the amplitude of bifurcating periodic solution and the conditions which determine the stability of the bifurcating periodic solution are obtained. The validity of analytical results is shown by their consistency with numerical simulations.
机译：考虑具有非线性发生率的时滞流行病模型，该模型取决于易感和感染个体的数量之比。通过分析相应的特征方程，研究了时延对平衡稳定性的影响。通过选择时延作为分叉参数，可以得到发生霍普夫分叉的时延的临界值。为了推导霍普夫分支的正常形式，开发并使用了多种尺度的扩展方法。然后，获得了分叉周期解的幅值和确定分叉周期解的稳定性的条件。分析结果与数值模拟的一致性表明了分析结果的有效性。

著录项

  • 来源
    《Mathematical Problems in Engineering》 |2016年第9期|2034136.1-2034136.8|共8页
  • 作者

    Wang Wanyong; Chen Lijuan;

  • 作者单位

    Henan Univ Engn, Coll Sci, Zhengzhou 451191, Peoples R China;

    Henan Univ Engn, Coll Sci, Zhengzhou 451191, Peoples R China;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号