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[1]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.
　TIAN Zhuyan,ZHANG Shuwen,WEI Chunjin.Stochastic SIQR Model Under Regime Switching[J].Journal of Jimei University,2021,26(3):271-279.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第26卷
期数:
2021年第3期
页码:
271-279
栏目:
数理科学与信息工程
出版日期:
2021-05-28

文章信息/Info

Title:
Stochastic SIQR Model Under Regime Switching
作者:
田竺艳; 张树文; 魏春金
(集美大学理学院,福建 厦门 361021)
Author(s):
TIAN Zhuyan; ZHANG Shuwen; WEI Chunjin
(School of Science，Jimei University，Xiamen 361021，China)
关键词:
传染病模型; 随机干扰; 灭绝; 正常返
Keywords:
epidemic model; random perturbation; extinction; positive recurrence
分类号:
-
DOI:
-
文献标志码:
-
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。
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.

参考文献/References:

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相似文献/References:

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[2]陈娟,戴斌祥,李文秀.一类具有媒体报道的传染病模型[J].集美大学学报(自然科学版),2019,24(1):64.
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备注/Memo

备注/Memo:
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更新日期/Last Update: 2021-07-13