Solving a modified nonlinear epidemiological model of computer viruses by homotopy analysis method


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Noeiaghdam S., Suleman M., Budak H.

MATHEMATICAL SCIENCES, sa.3, ss.211-222, 2018 (SCI-Expanded) identifier

Özet

The susceptible-infected-recovered model of computer viruses is investigated as a nonlinear system of ordinary differential equations by using the homotopy analysis method (HAM). The HAM is a flexible method which contains the auxiliary parameters and functions. This method has an important tool to adjust and control the convergence region of obtained solution. The numerical solutions are presented for various iterations, and the residual error functions are applied to show the accuracy of presented method. Several h-curves are plotted to demonstrate the regions of convergence, and the residual errors are obtained for different values of theses regions.