无标度网络上一类具有隔离项的时滞传染病模型研究  

On a Delayed Epidemic Model with Quarantine on Scale-Free Networks

作　　者：赵润东 孙梅慈 刘启明 ZHAO Rundong;SUN Meici;LIU Qiming(Department of Scientific Culture, Shijiazhuang Branch, Army Engineering University, Shijiazhuang 050003, China)

机构地区：[1]陆军工程大学石家庄校区军政基础系,石家庄050003

出　　处：《西南师范大学学报（自然科学版）》2022年第1期28-35,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：陆军工程大学基础学科科研基金项目(KYSZJQZL2011).

摘　　要：为了研究隔离周期对传染病传播的影响,在无标度网络上建立了一类具有隔离项的时滞传染病模型,计算了疾病传播的基本再生数;其次通过建立适当的Lyapunov函数,证明了该系统无病平衡点和地方病平衡点的全局稳定性;最后用数值模拟验证了结论的正确性.To study the effects of quarantine period on infectious diseases,a novel delayed epidemic model with quarantine on scale-free networks has been proposed.And the basic reproduction number,which is independent of time delay,been presented.By constructing appropriate Lyapunov functions,the global stability of disease-free equilibrium and endemic equilibrium has been investigated.And numerical simulations been performed to verify the correctness of the main results.

关 键 词：传染病模型 网络 时滞 稳定性 

分 类 号：O29[理学—应用数学]