A new epidemic model of computer viruses |
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| Institution: | 1. School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China;2. College of Computer Science, Chongqing University, Chongqing 400044, China;1. Institute of New Type Optoelectronic Materials and Technology, Guizhou University, Guiyang, Guizhou 550025, PR China;2. Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, PR China;3. School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, PR China;4. Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, PR China;1. Research Center for Complex Systems and Network Sciences and Department of Mathematics, Southeast University, Nanjing, Jiang’su 210096, People’s Republic of China;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. School of Software Engineering, Chongqing University, Chongqing, 400044, China;2. Department of Electrical and Electronic Engineering, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK;3. School of Software Engineering, Chongqing University, Chongqing, 400044, China |
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| Abstract: | This paper addresses the epidemiological modeling of computer viruses. By incorporating the effect of removable storage media, considering the possibility of connecting infected computers to the Internet, and removing the conservative restriction on the total number of computers connected to the Internet, a new epidemic model is proposed. Unlike most previous models, the proposed model has no virus-free equilibrium and has a unique endemic equilibrium. With the aid of the theory of asymptotically autonomous systems as well as the generalized Poincare–Bendixson theorem, the endemic equilibrium is shown to be globally asymptotically stable. By analyzing the influence of different system parameters on the steady number of infected computers, a collection of policies is recommended to prohibit the virus prevalence. |
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| Keywords: | Computer virus Epidemic model Endemic equilibrium Global stability Asymptotically autonomous system |
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