Optimal control of a delayed SLBS computer virus model

被引：51
|
作者：
Chen, Lijuan [1 ,2 ]
Hattaf, Khalid [3 ,4 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China
[3] Hassan II Univ, Fac Sci Ben Msik, Dept Math & Comp Sci, Casablanca, Morocco
[4] Ctr Reg Metiers Educ & Format CRMEF, Derb Ghalef 20340, Casablanca, Morocco
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 427卷
基金：
中国国家自然科学基金;
关键词：
Computer virus; Delay; Optimal control; SLBS; EXTERNAL COMPUTERS; EPIDEMIC MODEL; PROPAGATION; NETWORK; SPREAD; STABILITY; DYNAMICS;
D O I：
10.1016/j.physa.2015.02.048
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a delayed SLBS computer virus model is firstly proposed. To the best of our knowledge, this is the first time to discuss the optimal control of the SLBS model. By using the optimal control strategy, we present an optimal strategy to minimize the total number of the breakingout computers and the cost associated with toxication or detoxication. We show that an optimal control solution exists for the control problem. Some examples are presented to show the efficiency of this optimal control. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：244 / 250
页数：7
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