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.
†Dedicated to Professor Wei Lin on the occasion of his 70th birthday.
Acknowledgment
The author is grateful to Doctors Boris Dobrov (Moscow State University), Igor Ternovskiy (Intelligent Optical Systems, Inc., Torrance, California), Alexander Tikhonravov (Moscow State University) and Yuliang Zheng (University of North Carolina at Charlotte) for the useful discussions.
Notes
Present address: The Information Security and Assurance Institute at The University of North Carolina at Charlotte, Canada (http://www.isai.uncc.edu); personal WEB page http://www.math.uncc.edu/people/info.php/mklibanv
†Dedicated to Professor Wei Lin on the occasion of his 70th birthday.