CAJ | 학술논문

以计算机病毒的潜伏期时滞为参数，研究了一类具有直接免疫的时滞 SIR 计算机病毒动力学模型的 Hopf 分支。通过分析相应特征方程根的分布，得到计算机病毒模型的局部稳定性和产生局部 Hopf 分支的充分条件，并利用仿真实例对理论分析结果的正确性进行了验证。
이계산궤병독적잠복기시체위삼수，연구료일류구유직접면역적시체 SIR 계산궤병독동역학모형적 Hopf 분지。통과분석상응특정방정근적분포，득도계산궤병독모형적국부은정성화산생국부 Hopf 분지적충분조건，병이용방진실례대이론분석결과적정학성진행료험증。
The problem of Hopf bifurcation for a class of computer virus model with delay and direct immunization is investigated by regarding the latent delay as a bifurcation parameter in this paper.The conditions for the stability and existence of local Hopf bifurcation of the model are obtained by analyzing distribution of roots of the associated characteristic equation,and a numerical example is presented to testify the effects of theoretical results.