The multi-step homotopy analysis method for modified epidemiological model for computer viruses

DOI10.1007/s13370-014-0230-6zbMath1317.68015OpenAlexW2046967363MaRDI QIDQ2516953

Asad Freihat, Ali H. Handam, Mohammad Zurigat

Publication date: 4 August 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0230-6

zbMATH Keywords

fractional differential equationsCaputo fractional derivativeepidemiological modelcomputer virusesmulti-step homotopy analysis

Mathematics Subject Classification ID

Epidemiology (92D30) Network design and communication in computer systems (68M10) Internet topics (68M11) Fractional ordinary differential equations (34A08)

Related Items

Solving a modified nonlinear epidemiological model of computer viruses by homotopy analysis method ⋮ Analytical solution of fractional Burgers-Huxley equations via residual power series method

Cites Work

• Unnamed Item
• A novel computer virus model and its dynamics
• Series solutions of non-linear Riccati differential equations with fractional order
• Dynamical behavior of computer virus on internet
• An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells
• Homotopy analysis method for solving fractional Lorenz system
• Global existence theory and chaos control of fractional differential equations
• Remarks on fractional derivatives
• Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction
• The homotopy analysis method for handling systems of fractional differential equations
• Some multi-step iterative methods for solving nonlinear equations
• Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method
• A modified epidemiological model for computer viruses
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A unified prediction of computer virus spread in connected networks
• Advances in Fractional Calculus