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

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...

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Bibliographic Details
Published in:Mathematical sciences (Karaj, Iran) Iran), 2018-09, Vol.12 (3), p.211-222
Main Authors: Noeiaghdam, Samad, Suleman, Muhammad, Budak, Hüseyin
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computer viruses
Convergence
Differential equations
Epidemiology
Error functions
Mathematical models
Mathematics
Mathematics and Statistics
Nonlinear systems
Ordinary differential equations
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Summary: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 ħ -curves are plotted to demonstrate the regions of convergence, and the residual errors are obtained for different values of theses regions.
ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-018-0261-5