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

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。

Abstract: 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.