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一类SEIS模型的分岔及混沌 被引量:1

Bifurcation and Chaos of a Dynamic SEIS Epidemic Model
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摘要 建立了一类更为符合实际疫情的种群动态变化下新的SEIS模型,得到了系统的平衡点渐近稳定条件、Hopf分岔以及稳定的极限环,给出了多参数变化对系统混沌的影响和易感种群增减对系统混沌区域伸缩的制约,并附有数值模拟和仿真. This paper considers an SEIS epidemic model that incorporates a varying total population size. Obtain the asymptotical stability and Hopf bifurcation and stability limit cycle, excess the chaos by the parameter's change and the effection to chaos area of susceptibles increase or decrease and computer simulation near the end of the paper.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第13期98-101,共4页 Mathematics in Practice and Theory
关键词 SEIS模型 HOPF分岔 极限环 混沌 SEIS model hopf bifurcation limit cycle chaos
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