Extrapolated nonstandard numerical schemes for solving an epidemiological model for computer viruses

Abstract— The aim of this work is to construct high-order numerical schemes that preserve the dynamical properties a mathematical model describing spread computer viruses on Internet. For purpose, we first apply Mickens’ methodology formulate dynamically consistent nonstandard finite difference (NSFD) scheme for under consid­eration. After that, constructed NSFD combined with Richardson’s extrapolation method generate higher-accuracy approximations. result obtain extrapolated not only proper­ties virus propagation but also provide In addition, set examples conducted illustrate and support theoretical findings show advantages proposed schemes.