By incorporating the objective of keeping a low number of infected nodes and a high number of recovered nodes at a lower cost into a known computer virus model (the delay-varying SIRC model) extended by introducing quarantine, a novel model is described by means of the optimal control strategy and theoretically analyzed. Through the comparison of simulation results, it is shown that the propagation of computer virus with varying latency period can be suppressed effectively by the optimal control strategy.
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Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R ChinaTongji Univ, Dept Math, Shanghai 200092, Peoples R China
Chen, Lijuan
Hattaf, Khalid
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Hassan II Univ, Fac Sci Ben Msik, Dept Math & Comp Sci, Casablanca, Morocco
Ctr Reg Metiers Educ & Format CRMEF, Derb Ghalef 20340, Casablanca, MoroccoTongji Univ, Dept Math, Shanghai 200092, Peoples R China
Hattaf, Khalid
Sun, Jitao
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Tongji Univ, Dept Math, Shanghai 200092, Peoples R ChinaTongji Univ, Dept Math, Shanghai 200092, Peoples R China