Title of article :
Solving a modified nonlinear epidemiological model of computer viruses by homotopy analysis method
Author/Authors :
Noeiaghdam, Samad Department of Mathematics - Central Tehran Branch - Islamic Azad University, Tehran , Suleman, Muhammad Faculty of Science - Jiangsu University - Zhenjiang, China - Department of Mathematics - Comsats Institute of Information Technology - Islamabad, Pakistan , Budak, Hu¨ seyin Department of Mathematics - Faculty of Science and Arts - Du¨zce University - Du¨zce, Turkey
Abstract :
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.
Keywords :
Susceptible–infected–recovered model , Modified epidemiological model , Computer virus , Homotopy analysis method , h-Curve
Journal title :
Astroparticle Physics
