一类总人口变化的传染病模型的极限环及混沌  

Limit Cycle and Chaos of an Epidemic Model with Varying Total Population Size

作　　者：李军红[1] 崔亮[2] 俞元洪[3] 张礼刚[1] 

机构地区：[1]河北建筑工程学院数理系,河北张家口075024 [2]石家庄铁道学院学生处,河北石家庄051000 [3]中国科学院数学与系统科学研究所,北京100080

出　　处：《数学的实践与认识》2008年第10期132-135,共4页Mathematics in Practice and Theory

基　　金：河北省科技厅项目(7457219007276759)

摘　　要：研究了一类具被动免疫的流行病模型,考虑到了各仓室人口的增长,结合中心流形理论和参数扰动得到了系统极限环和混沌的存在性,并作了数值模拟和仿真.An epidemic model with passive immunity for the spread of infection disease has been discussed. Considing the increase of three contains, The limit cycle and chaos are obtained for the model by theory of center manifold and parameters disturbing. Finally, computer simulation near the end of the paper.

关 键 词：传染病模型 中心流形 极限环 混沌 仿真 

分 类 号：O175[理学—数学]