标题:
一类离散SIR流行病模型的分岔和混沌分析Bifurcation and Chaos Analysis of a Class of Discrete SIR Epidemic Models
作者:
庞琴, 张建刚, 邓田, 殷俊, 卢加荣
关键字:
离散SIR模型, Flip分岔, Hopf分岔, 混沌, 随机参数Discrete-Time SIR System, Flip Bifurcation, Hopf Bifurcation, Chaos, Random Parameter
期刊名称:
《Advances in Applied Mathematics》, Vol.5 No.3, 2016-08-22
摘要:
本文讨论了离散模型的动力学行为。得到无病平衡点和地方病平衡点的局部稳定性。结果表明，利用中心流形定理和分岔理论，模型存在Flip分岔和Hopf分岔。因此，表现出复杂的动力学行为，这些结果揭示了离散模型的更丰富的动力学行为。
The paper discusses the dynamical behaviors of a discrete-time SI epidemic model. The local sta-bility of the disease-free equilibrium and endemic equilibrium is obtained. It is shown that the model undergoes Flip bifurcation and Hopf bifurcation by using center manifold theorem and bi-furcation theory. So it exhibits the complex dynamical behaviors. These results reveal far richer dynamical behaviors of the discrete epidemic model.