CAJ | 학술논문

考虑到网络中的计算机对网络病毒的临时免疫期，基于SIQR网络病毒传播模型提出了具有临时免疫期时滞的SIQRS网络病毒传播模型。利用特征方程方法，得到了模型有病毒平衡点局部渐近稳定和产生H o pf分支的充分条件。并给出一个仿真示例，对理论分析结果的正确性进行了验证。
고필도망락중적계산궤대망락병독적림시면역기，기우SIQR망락병독전파모형제출료구유림시면역기시체적SIQRS망락병독전파모형。이용특정방정방법，득도료모형유병독평형점국부점근은정화산생H o pf분지적충분조건。병급출일개방진시례，대이론분석결과적정학성진행료험증。
Considering the temporary immunity period of the recovered computers in the Internet ,a delayed SIQRS model is proposed based on the SIQR computer virus propagation model .Sufficient condi‐tions for the locally asymptotical stability and existence of Hopf bifurcation are obtained by the characteris‐tic equation method .A simulation example is given to test the theoretical results .