首页    期刊浏览 2024年07月09日 星期二
登录注册

文章基本信息

  • 标题:Stability and Hopf bifurcation for a stage-structured predator–prey model incorporating refuge for prey and additional food for predator
  • 作者:Yuzhen Bai ; Yuzhen Bai ; Yunyun Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:42
  • DOI:10.1186/s13662-019-1979-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study a stage-structured predator–prey model incorporating refuge for prey and additional food for predator. By analyzing the corresponding characteristic equations, we investigate the local stability of equilibria and the existence of Hopf bifurcation at the positive equilibrium taking the time delay as a bifurcation parameter. Furthermore, we obtain the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions applying the center manifold theorem and normal form theory. Numerical simulations are illustrated to verify our main results.
  • 关键词:Stage-structured predator–prey model ; Refuge ; Additional food ; Hopf bifurcation
Loading...
联系我们|关于我们|网站声明
国家哲学社会科学文献中心版权所有