Abstract

An Approximate Solution of a Computer Virus Model with Antivirus using Modified Differential Transform Method

Highlights

  • Transform MethodIn [7], the strength of Adams numerical method in solving a formulated epidemiological computer virus model for different case scenarios was investigated

  • The excessive prevalence of computer viruses has been greatly intensified due to the fast acquisition of information through computer technologies and networks [1, 2]

  • 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 [6]

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Summary

Transform Method

In [7], the strength of Adams numerical method in solving a formulated epidemiological computer virus model for different case scenarios was investigated The worth of their proposed algorithm in terms of accuracy and convergence was proved when compared with Explicit Runge Kutta Method and Implicit Backward Differentiation Method. To predict the speed of computer virus propagation over a network, numerical methods that provide reliable approximate solutions are often used These methods include Runge-Kutta fourth order [4], Adams-Bashforth-Moulton Method [3], Multi Step Generalized Differential Transform Method [8], Implicit Backward Differentiation Method [7], Euler Predictor Corrector Method [6]. Definition 2: The differential inverse transform of F(k) is defined as follows [9]

Original function f t
Rate of inefficiency of antivirus h
CONCLUSION
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