Optimal control on the spread of slbs computer virus model

Pangestuti Prima Darajat; Agus Suryanto; Agus Widodo

doi:10.12732/ijpam.v107i3.21

Optimal control on the spread of slbs computer virus model

Pangestuti Prima Darajat
, Agus Suryanto^*
, Agus Widodo

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	749-758
Number of pages	10
Journal	International Journal of Pure and Applied Mathematics
Volume	107
Issue number	3
DOIs	https://doi.org/10.12732/ijpam.v107i3.21
Publication status	Published - 2016

Keywords

Forward-backward sweep method
Optimal control
Pontryagin principle
Spread of computer virus model

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10.12732/ijpam.v107i3.21

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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.",

keywords = "Forward-backward sweep method, Optimal control, Pontryagin principle, Spread of computer virus model",

author = "Darajat, \{Pangestuti Prima\} and Agus Suryanto and Agus Widodo",

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AU - Darajat, Pangestuti Prima

AU - Suryanto, Agus

AU - Widodo, Agus

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N2 - 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.

AB - 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.

KW - Forward-backward sweep method

KW - Optimal control

KW - Pontryagin principle

KW - Spread of computer virus model

UR - https://www.scopus.com/pages/publications/85015293698

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JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 3

ER -

Optimal control on the spread of slbs computer virus model

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Keywords

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