Distributed modelling of propagation of computer viruses/worms by partial differential equations†

Author: Klibanov Michael V.  

Publisher: Taylor & Francis Ltd

ISSN: 0003-6811

Source: Applicable Analysis, Vol.85, Iss.9, 2006-09, pp. : 1025-1044

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Abstract

Two distributed Partial Differential Equations-based (PDES-based) mathematical models of propagation of computer viruses are derived for the first time. It is shown that experimental studies and inverse problems should be two main topics of further research of these models. The recently developed so-called globally convergent convexification numerical method of the author and Timonov is a good candidate to be a base of corresponding inverse algorithms.