锁娟;李星;杨娟;

• 1:宁夏大学数学统计学院
• 2:宁夏大学民族预科教育学院

摘要(Abstract)：

讨论了一类具有非单调发病率的随机SIS模型.主要贡献在两个方面.在数学上,应用随机分析技术证明了R_0~s可以作为随机模型的阈值.当R_0~s<1时,随机模型存在一个无病的吸引集,即疾病会以概率1灭绝.当R_0~s>1时,疾病是随机持续生存的.在流行病学上,结果表明环境噪声可以抑制疾病的爆发,可以为疾病的预防和控制提供一些参考.

关键词(KeyWords)： 流行病模型;;基本再生数;;阈值;;持续性;;灭绝性

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11362018);; 宁夏自然科学基金(NZ16044);; 宁夏大学科学研究项目(ZR15026)

作者(Author): 锁娟;李星;杨娟;

Email:

参考文献(References)：

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