%0 Journal Article
%T Chaos for a class of complex epidemiological models<br>一类复杂流行病学模型的混沌研究
%A Di Gen-Hu
%A Xu Yong
%A Xu Wei
%A Gu Ren-Cai
%A <br>狄根虎
%A 许勇
%A 徐伟
%A 顾仁财
%J 物理学报
%D 2011
%I 
%X 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.
%K SIR(susceptible
%K infected
%K recovered)模型
%K 混沌运动
%K Melnikov方法
%K 同宿分岔
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=2B4DE08C30523DE224D447DDD0314276&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=0B39A22176CE99FB&sid=015D9E8889E435D8&eid=015D9E8889E435D8&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=24