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一类非自治SIS传染病模型的持续性
PERSISTEMCE FOR A NONAUTONOMOUS SIS-INFECTIOUS DISEASES MODEL
【摘要】 考虑了一类Logistic种群增长的非自治SIS传染病模型 这个模型的所有参数是与时间相关的。证明了在某些条件下系统是持续的,建立了关于相应周期系统正周期解的存在性与稳定性的条件。
【Abstract】 In this paper,a nonautonomous SIS-Infections diseases model with Logistic species growth is considered,where all parameters are time-dependent.It is proved that the system can be made persistent under some condilions.Conditions are established for the existence and the stability of the positive periodic solutions with respect to the corresponding periodic system.
【关键词】 传染病模型;
周期系统;
持续性;
周期解;
稳定性;
【Key words】 infectious diseases model; periodic system; persistence; periodic solution stability;
【Key words】 infectious diseases model; periodic system; persistence; periodic solution stability;
- 【文献出处】 海南师范学院学报(自然科学版) ,Journal of Hainan Normal University(Natural Science) , 编辑部邮箱 ,2000年02期
- 【分类号】O29
- 【被引频次】2
- 【下载频次】112