| 切换状态下随机SIQR模型 |
| |
| 引用本文： | 田竺艳,张树文,魏春金.切换状态下随机SIQR模型[J].集美大学学报(自然科学版),2021,26(3):271-279. |
| |
| 作者姓名： | 田竺艳 张树文 魏春金 |
| |
| 作者单位： | (集美大学理学院,福建 厦门 361021) |
| |
| 摘 要： | 研究切换状态下具有饱和发病率的随机SIQR 流行病模型，得到系统全局正解的存在唯一性和疾病灭绝的充分条件。通过构造合适的Lyapunov 函数，证明系统解的正常返的存在性。最后，数值模拟验证了理论结果。
|
| 关 键 词： | 传染病模型 随机干扰 灭绝 正常返 |
Stochastic SIQR Model Under Regime Switching |
| |
| TIAN Zhuyan,ZHANG Shuwen,WEI Chunjin.Stochastic SIQR Model Under Regime Switching[J].the Editorial Board of Jimei University(Natural Science),2021,26(3):271-279. |
| |
| Authors: | TIAN Zhuyan ZHANG Shuwen WEI Chunjin |
| |
| Institution: | (School of Science，Jimei University，Xiamen 361021，China) |
| |
| Abstract: | In this paper，a stochastic SIQR model with saturated incidence was investigated under regime switching.The existence and uniqueness of the positive global solution of the system were proved,and sufficient conditions for extinction of the disease were obtained.By constructing a suitable Lyapunov function，the existence of positive recurrence of the system was proved.Finally,some numerical simulations were introduced to illustrate the theoretical results. |
| |
| Keywords: | epidemic model random perturbation extinction positive recurrence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《集美大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《集美大学学报(自然科学版)》下载免费的PDF全文 |
