Dynamically consistent nonstandard numerical schemes for solving some computer virus and malware propagation models

This work is devoted to constructing reliable numerical schemes for some computer virus and malware propagation models. We apply the Mickens' methodology formulate nonstandard finite difference (NSFD) epidemiological models describing spread of viruses malware. Positivity, boundedness global asymptotic stability (GAS) proposed NSFD are studied rigorously. It should be emphasized that GAS established based on an extension classical Lyapunov's direct method. As important consequence, we conclude constructed dynamically consistent with respect positivity, continuous Finally, a set examples conducted support theoretical findings demonstrate advantages over well-known standard ones. The show used fail preserve qualitative dynamical properties all step sizes; consequently, they can generate approximations completely different from exact solutions. Conversely, provide solutions regardless chosen sizes.