Chaos for a class of complex epidemiological models

Gen Hu Di, Yong Xu, Wei Xu, Ren Cai Gu

科研成果: 期刊稿件文章同行评审

11 引用 (Scopus)

摘要

We study the well-known SIR (susceptible, infected, recoverd) model with nonlinear complex incidence rates. Firstly, a series of coordinate transformations are carried out to change the equations as the amenable Hamiltonian systems. Secondly the Melnikov's method is used to establish the conditions of existence of chaotic motion and find the analytically critical values of homoclinic bifurcation. Good agreement can be found between numerical results and analytical results.

源语言英语
文章编号020504
期刊Wuli Xuebao/Acta Physica Sinica
60
2
出版状态已出版 - 2月 2011

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