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A four-compartment computer virus propagation model with graded infection rate
Authors:YANG Maobin  YANG Xiaofan  ZHU Qingyi  YANG Luxing
Affiliation:School of Communication and Information Engineering, Chongqing University of Posts & Telecommunications, Chongqing 400065,China; College of Comhputer Science,Chongqing University, Chongqing 400044,China;College of Comhputer Science,Chongqing University, Chongqing 400044,China;College of Comhputer Science,Chongqing University, Chongqing 400044,China;College of Comhputer Science; College of Mathematics and Statistics,Chongqing University, Chongqing 400044,China
Abstract:
A new resident virus propagation model with graded infection rate is established based on the properties of two important stages undergoing by resident virus, which are the latent phase, in which resident virus cannot infect other hosts because it has not yet been loaded into memory and the active phase, in which resident virus resides in memory and infects any suitable program that is executed on the computer. Two computer compartments with different infection rate are established. Furthermore, the dynamic behaviors of this model are investigated by stability theory and numerical simulations. It is found that the dynamical properties of this model are determined by basic reproductive rate. Specifically, virus-free equilibrium is globally asymptotically stable if basic reproductive rate is less than or equal to one , whereas the local asymptotical stability of the viral equilibrium is guaranteed if basic reproductive rate is bigger than one, followed by a conjecture on its global stability. Then the sensitivity analysis of basic reproductive rate to the system parameters is investigated and a collection of policies is advised to control the spread of computer virus over the Internet.
Keywords:computer viruses  resident virus  dynamic model  stability  SLARS model
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