In, the strength of Adams numerical method in solving a formulated epidemiological computer virus model for different case scenarios was investigated. Global stability properties of the model was established using the Lyapunov function and the analytical results obtained were validated numerically. In particular, formulated a dynamic model that provide a comprehensive study and deeper understanding of the fundamental mechanism in computer virus propagation over a network. Some mathematical models for transmission dynamics of computer virus existing in literarure are found in, and the references cited there in. The similarities between biological virus and computer virus in their mode of propagation have made several researchers to adopt mathematical models as an effective strategy to study the way computer virus spreads over a network.
Thus the need to get a better understanding of the transmission dynamics of computer virus is very vital to increase the safety and reliability of computer network systems. The socio economic impact of computer virus includes the following, but not limited to loss of millions of dollars worth of data and loss of productivity. There are currently over 74000 different strains of computer viruses since it was first discovered in 1986. These viruses are grouped into file infectors, boot sector viruses, macro viruses and Trojan horse. These viruses are kind of computer programs or malicious code that can clone themselves and infect other computers. The excessive prevalence of computer viruses has been greatly intensified due to the fast acquisition of information through computer technologies and networks. Keywords: Virus, Antivirus, Differential Transform Method, Laplace-Pade resummation, Pade Approximant Graphs and table were presented to ascertain the simplicity and reliability of the method. The accuracy of the solutions generated by the proposed method is established when compared with those of Runge-Kutta fourth order method. The proposed method is a hybrid technique that combines differential transform method with a post treatment of Laplace-Pade resummation method. Onwubuoya C 1, Nwanze D.E 2 Erejuwa J.S 4 1,2,4 Department of Computer Science/Mathematics, Novena University, Ogume,ģ Department of Mathematics, University of Ilorin, Kwara State, NigeriaĪbstract – This work extends the application of a modified differential transform method by providing an approximate analytic solution to a model that describes the effect of antivirus in the spread of computer virus over a network. An Approximate Solution of a Computer Virus Model with Antivirus using Modified Differential Transform Method
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