1. -类具有时滞和进化效应的SIR 模型的 稳定性和 Hopf 分支分析.
- Author
-
袁海龙 and 王佳月
- Abstract
In this paper, we study a class of SIR model with time-delay and evolutionary effects under the homogeneous Neumann boundary conditions. Firstly, the stability of the positive equilibrium point is analyzed with time delay as the parameter, and the existence condition of Hopf bifurcation is given. Secondly, the bifurcation direction and the stability of periodic solutions are given by using the theory of normal form and center manifold. Finally, Matlab was used for the numerical simulation to verify the correctness of the conclusion, and it is concluded that the time delay will make the stable system become unstable and generate Hopf bifurcation. [ABSTRACT FROM AUTHOR]
- Published
- 2024