李小妮, 张启敏. 基于信息干预的SIRS传染病模型稳定性分析[J]. 华南师范大学学报(自然科学版), 2019, 51(5): 98-103. doi: 10.6054/j.jscnun.2019090
引用本文: 李小妮, 张启敏. 基于信息干预的SIRS传染病模型稳定性分析[J]. 华南师范大学学报(自然科学版), 2019, 51(5): 98-103. doi: 10.6054/j.jscnun.2019090
LI Xiaoni, ZHANG Qimin. Stability Analysis of an SIRS Epidemic Model with Information Intervention[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(5): 98-103. doi: 10.6054/j.jscnun.2019090
Citation: LI Xiaoni, ZHANG Qimin. Stability Analysis of an SIRS Epidemic Model with Information Intervention[J]. Journal of South China Normal University (Natural Science Edition), 2019, 51(5): 98-103. doi: 10.6054/j.jscnun.2019090

基于信息干预的SIRS传染病模型稳定性分析

Stability Analysis of an SIRS Epidemic Model with Information Intervention

  • 摘要: 建立了一类基于信息干预和疫苗接种的SIRS传染病模型, 研究了该模型的全局渐近稳定性, 给出了疾病持久和灭绝的基本再生数0.研究结果表明:当0 < 1时, 该模型存在全局渐近稳定的无病平衡点; 当0>1时, 该模型存在全局渐近稳定的地方病平衡点.数值算例验证了理论分析结果.

     

    Abstract: The asymptotic behavior of an SIRS epidemic model containing information intervention and vaccination has been studied. The results indicate that the basic reproduction number 0 is the threshold of disease persistence and extinction. If 0 < 1, the system has an disease-free equilibrium which is globally asymptotically stable, while if 0>1, there exists an epidemic equilibrium which is globally asymptotically stable. At last, some numerical exam-ples are given to illustrate the results.

     

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