Abstract: A delayed Susceptible Infectious Recovery Susceptible(SIRS) model on malicious codes is presented in the paper. The competition between malicious code and anti-virus software leads to the situation: susceptible computers are infected and become infectious, and then these infections become recovery because anti-virus software is run. When these viruses upgrade and vary, those computers with anti-virus software have temporary immunity only. Moreover, the effect of time-delayed is studied in the model. Equilibrium points and their stabilities of this model are analyzed. The delayed model better describes long-term condition of malicious code.

Key words: malicious code, delayed SIRS model, stability

摘要： 研究恶性代码的一个带时延SIRS模型。恶性代码和反病毒软件的斗争使得易感的计算机被恶性代码感染，而被感染的计算机由于反病毒软件的安装具有免疫力，但恶性代码的进一步变种和升级让这些安装了反病毒软件的计算机仅仅具有临时的免疫功能。对所建立的模型，分析了平衡点以及平衡点的稳定性，得到恶性代码的传播阈值，同时还研究了时延传播的影响。该模型通过引入时延更真实地反映了恶性代码传播的长期状况。

关键词: 恶性代码, 时延SIRS模型, 稳定性

CLC Number: 

• TP393.08