Numerical Study of Computer Virus Reaction Diffusion Epidemic Model

A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo

In this work the mathematical model of a spatial pattern in chemical and biological systems is investigated numerically. The proposed model considered as a nonlinear reaction-diffusion equation. A computational approach based on finite difference and RBF-collocation methods is conducted to solve the equation with respect to the appropriate initial and boundary conditions. The ability and robust...

Differential Epidemic Model of Virus and Worms in Computer Network

A differential electronic Susceptible-Infectious-RemovedSusceptible (e-SIRS) epidemic model of virus and worms in a computer network has been formulated. Latent period, immune period and time for self replication have been considered. Stability of the result is stated in terms of the threshold parameter. We have derived an explicit formula for the reproductive number and have shown that the vir...

A Numerical Study of Cauchy Reaction-Diffusion Equation

Abstract: In this paper, new algorithm of homotopy analysis method is successfully applied to obtain the approximate analytical solutions of the Cauchy reaction-diffusion equation. Reaction-diffusion equations have special importance in engineering and sciences and constitute a good model for many systems in various fields. Application of new algorithm of homotopy analysis method to this proble...

Numerical Study on the Reaction Cum Diffusion Process in a Spherical Biocatalyst

In chemical engineering, several processes are represented by singular boundary value problems. In general, classical numerical methods fail to produce good approximations for the singular boundary value problems. In this paper, Chebyshev finite difference (ChFD) method and DTM-Pad´e method, which is a combination of differential transform method (DTM) and Pad´e approximant, are applied for sol...

A Study of Numerical Reaction-Diffusion Systems on Closed Surfaces