无标度网络上具有2个染病者仓室的SIR模型分析

An analysis of an SIR model with two infected groups on scale- free networks

在无标度网络中建立和分析具有2个染病者仓室的SIR模型,首先计算得到基本再生数R0;证明了当R0<1时,无病平衡点是全局渐近稳定的;当R0>1时,存在唯一的地方病平衡点且疾病是持续性传染病.其次研究和比较网络上的2种免疫,得到在平均免疫率相同的条件下,目标免疫比随机免疫更有效.最后利用数值分析验证了主要结论.

An S the basic reprod IR model with two infected groups is built and analyzed on scale -free network. First, we uction number Ro, and prove the globally asymptotically stability of disease - free equilib figure out rium when R0 〈 1, and the persistence of infection when Ro 〉 1. By comparing two immunization schemes, we find that targeted strategy is more efficient than proportional strategy for the same average immunization rate. At last, the numerical simulations verify our conclusions.