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
云南民族大学学报:自然科学版,2015,24(5):386-391

闫卫平 YWP

摘要


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R0;证明了当R0<1时,无病平衡点是全局渐近稳定的;当R0>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 SIR model with two infected groups is built and analyzed on scale-free network.First,we figure out the basic reproduction number R0,and prove the globally asymptotically stability of disease-free equilibrium when R0<1,and the persistence of infection when R0>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.

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