IJPAM: Volume 107, No. 3 (2016)

OPTIMAL CONTROL ON THE SPREAD OF
SLBS COMPUTER VIRUS MODEL

Pangestuti Prima Darajat$^1$, Agus Suryanto$^2$, Agus Widodo$^3$
$^{1,2,3}$Department of Mathematics
Brawijaya University
Jl. Veteran Malang, 65145, INDONESIA


Abstract. In this paper, we discuss an optimal control on the spread of SLBS computer virus model. Control strategy by installing antivirus on each subpopulation aims to minimize the number of infective computers (latent and breakingout) and the cost associated with the control. Optimal system condition is determined by using Pontryagin principle and is solved numerically by using Forward-Backward Sweep method in combination with the fourth order Runge-Kutta method. Our numerical simulations show that the strategy by installing antivirus on susceptible computers as preventive give a great influence on suppressing the spread of computer viruses.

Received: March 18, 2016

AMS Subject Classification: 49J15

Key Words and Phrases: optimal control, spread of computer virus model, Pontryagin principle, forward-backward sweep method

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DOI: 10.12732/ijpam.v107i3.21 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 3
Pages: 749 - 758


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