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一类随机戒烟模型的灭绝性与均值持久性

Extinction and Persistence in the Mean of a Stochastic Giving up Smoking Model
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摘要 主要探讨了一类随机戒烟模型的动力学性质。首先讨论了该系统存在唯一的全局正解,接下来获得了该系统各类人群的灭绝性与均值持久性的一个充分条件,最后应用数值模拟对理论结果进行了验证。 In this paper,the dynamics of a stochastic giving up smoking model are considered.First,we show that there is a unique global positive solution of this system.And then,sufficient conditions for the persistence and extinction of this system are established.The last,the results are illustrated by computer simulations.
作者 戴祥军 徐松金 刘声 李通 DAI Xiangjun;XU Songjin;Liu Sheng;LI Tong(School of Data Science,Tongren University,Tongren 554300,Guizhou,China)
出处 《铜仁学院学报》 2018年第12期111-116,共6页 Journal of Tongren University
基金 贵州省创新群体重大研究项目(黔教合KY字[2016]051) 贵州省一流大学(一期)课程培育项目(2017YLDXXM005) 贵州省普通高等学校创新人才团队项目(黔教合人才团队字[2015]64) 大学生创新训练项目(201710665018)
关键词 随机干扰 戒烟模型 灭绝性 持久性 stochastic perturbation giving up smoking model persistence extinction
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