A novel technique to solve the modified epidemiological model of computer viruses. (English) Zbl 1420.68016
Summary: The aim of this paper is to present a simple and accurate method to estimate the approximate solution of non-linear epidemiological model of computer viruses. For this reason, the variational iteration method (VIM) is applied. Also, in order to show the efficiency of presented method, we compare the numerical results with the differential transform method (DTM) and the homotopy analysis transform method (HATM). Several graphs of residual error functions for various iterations are demonstrated. By applying these graphs we show the results of VIM are accurate in comparison with the other methods.
MSC:
| 68M10 | Network design and communication in computer systems |
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 68M11 | Internet topics |
Keywords:
susceptible-infected-recovered model; modified epidemiological model; computer virus; variational iteration methodReferences:
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