一类具时滞的SEIQRS计算机病毒模型的稳定性分析  

Stability Analysis of a Class of SEIQRS Computer Virus Model with Time Delay

作　　者：杨斌[1] 杨志春[1] 

机构地区：[1]重庆师范大学数学学院,重庆401331

出　　处：《重庆师范大学学报（自然科学版）》2014年第5期100-104,共5页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.10971240);教育部科技重点项目(No.212138);重庆市高校创新团队(No.KJTD201308);重庆市教委科研项目(No.KJ120630;No.KJ130613)

摘　　要：考虑计算机自身特点、用户对计算机病毒防范意识增强、反病毒软件的使用、主动防御能力的局限性、手动查杀病毒需要的时间及对病毒进行隔离处理等因素,提出一类具有时滞的SEIQRS计算机病毒动力学模型。借助于基本再生数理论及线性化模型的特征方程对该模型进行分析,讨论了阈值R0<1时无病平衡点和R0>1时地方病平衡点在时滞τ=0及τ>0的局部稳定性情况。A class of SEIORS computer virus dynamics model with time delay is proposed when we concern with the characteristics of user computer, the prevention awareness for computer virus, anti-virus software via using the active defense ability, the time f kill- ing the virus and isolating the virus and other factors. By means of the theory of basic reproduction number and linearization modelof the characteristic equation, we investigate the stability of the disease--free equilibria and endemic equilibrium for the systems with time delay when R_0〈1 and R_0〉1, respectively.

关 键 词：计算机病毒模型 时滞 稳定性 

分 类 号：O175.1[理学—数学]