一般函数的计算机病毒模型最优控制

Optimal Control of Computer Virus Model Based on General Function

研究一类改进的一般函数的计算机病毒模型,并引入杀毒软件作为系统的控制变量,应用极小值原理,得到一个时变的最优控制策略。时变的控制策略不但能够使得购买杀毒软件及其更新的费用最小,而且能将被感染的计算机的数目降到最低。数值模拟显示:在控制的这段时间内,并不需要一直保持最大的效力。

A class of improved general function model of computer virus was investigated in this paper. Antivirus software was introduced as control variable of the system,and the principle of minimum was applied. A time-varying optimal control strategy was obtained. The time-varying control strategy can not only minimize the expense of purchasing anti-virus software and update,but also minimize the number of infected computers. The numerical simulation shows that no full efficacy is needed all the time during the control period.