|
|||||
|
|
Stability and Hopf bifurcation analysis of an eco-epidemiological model with delay |
|
| Authors: | Xueyong Zhou Jingan Cui |
| Institution: | a School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, Jiangsu, PR China b College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, Henan, PR China c School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, PR China |
| Abstract: | In this paper, an eco-epidemiological model with time delay is considered. The asymptotical stability of the three equilibria, the existence of stability switches about both the disease-free planar equilibrium and the positive equilibrium are investigated. It is found that Hopf bifurcation occurs when the delay τ passes through a critical value. Some explicit formulae determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations at the positive equilibrium are obtained by using the normal form theory and center manifold theory. Some numerical simulations for justifying the theoretical analysis are also provided. Finally, biological explanations and main conclusions are given. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |