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.
出处
《应用数学进展》
2016年第3期390-398,共9页
Advances in Applied Mathematics
基金
“国家自然科学基金项目”(No61364001)
和甘肃省科学与技术项目(No.144GKCA018)。