A stage-structured predator-prey system with time delay |
| |
| Authors: | Lingshu Wang Rui Xu Guanghui Feng |
| |
| Institution: | 1. Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, China
2. School of Mathematics and Statistics, Hebei University of Economics & Business, Shijiazhuang, 050061, China
|
| |
| Abstract: | A stage-structured predator-prey system with time delay is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated. The existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and center manifold theorem. Numerical simulations are carried out to illustrate the theoretical results. Based on the global Hopf bifurcation theorem for general functional differential equations, the global existence of periodic solutions is established. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
