Simulation of worms transmission in computer network based on SIRS fuzzy epidemic model

I. Darti; A. Suryanto; M. Yustianingsih

doi:10.1063/1.4914431

Simulation of worms transmission in computer network based on SIRS fuzzy epidemic model

I. Darti^*
, A. Suryanto
, M. Yustianingsih

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this paper we study numerically the behavior of worms transmission in a computer network. The model of worms transmission is derived by modifying a SIRS epidemic model. In this case, we consider that the transmission rate, recovery rate and rate of susceptible after recovery follows fuzzy membership functions, rather than constants. To study the transmission of worms in a computer network, we solve the model using the fourth order Runge-Kutta method. Our numerical results show that the fuzzy transmission rate and fuzzy recovery rate may lead to a changing of basic reproduction number which therefore also changes the stability properties of equilibrium points.

Original language	English
Title of host publication	Symposium on Biomathematics, SYMOMATH 2014
Editors	Thomas Gotz, Agus Suryanto
Publisher	American Institute of Physics Inc.
Pages	48-52
Number of pages	5
ISBN (Electronic)	9780735412934
DOIs	https://doi.org/10.1063/1.4914431
Publication status	Published - 2015
Event	2nd International Symposium on Biomathematics, SYMOMATH 2014 - Malang, East Java, Indonesia Duration: 31 Aug 2014 → 2 Sept 2014

Publication series

Name	AIP Conference Proceedings
Volume	1651
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	2nd International Symposium on Biomathematics, SYMOMATH 2014
Country/Territory	Indonesia
City	Malang, East Java
Period	31/08/14 → 2/09/14

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

fuzzy epidemic model
fuzzy membership functions
worms

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10.1063/1.4914431

Cite this

@inproceedings{c98d95a3d38d43148f8024448f6d749a,

title = "Simulation of worms transmission in computer network based on SIRS fuzzy epidemic model",

abstract = "In this paper we study numerically the behavior of worms transmission in a computer network. The model of worms transmission is derived by modifying a SIRS epidemic model. In this case, we consider that the transmission rate, recovery rate and rate of susceptible after recovery follows fuzzy membership functions, rather than constants. To study the transmission of worms in a computer network, we solve the model using the fourth order Runge-Kutta method. Our numerical results show that the fuzzy transmission rate and fuzzy recovery rate may lead to a changing of basic reproduction number which therefore also changes the stability properties of equilibrium points.",

keywords = "fuzzy epidemic model, fuzzy membership functions, worms",

author = "I. Darti and A. Suryanto and M. Yustianingsih",

note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; 2nd International Symposium on Biomathematics, SYMOMATH 2014 ; Conference date: 31-08-2014 Through 02-09-2014",

year = "2015",

doi = "10.1063/1.4914431",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

pages = "48--52",

editor = "Thomas Gotz and Agus Suryanto",

booktitle = "Symposium on Biomathematics, SYMOMATH 2014",

}

Darti, I , Suryanto, A & Yustianingsih, M 2015, Simulation of worms transmission in computer network based on SIRS fuzzy epidemic model. in T Gotz & A Suryanto (eds), Symposium on Biomathematics, SYMOMATH 2014. AIP Conference Proceedings, vol. 1651, American Institute of Physics Inc., pp. 48-52, 2nd International Symposium on Biomathematics, SYMOMATH 2014, Malang, East Java, Indonesia, 31/08/14. https://doi.org/10.1063/1.4914431

Simulation of worms transmission in computer network based on SIRS fuzzy epidemic model. / Darti, I.; Suryanto, A.; Yustianingsih, M.
Symposium on Biomathematics, SYMOMATH 2014. ed. / Thomas Gotz; Agus Suryanto. American Institute of Physics Inc., 2015. p. 48-52 (AIP Conference Proceedings; Vol. 1651).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Simulation of worms transmission in computer network based on SIRS fuzzy epidemic model

AU - Darti, I.

AU - Suryanto, A.

AU - Yustianingsih, M.

PY - 2015

Y1 - 2015

N2 - In this paper we study numerically the behavior of worms transmission in a computer network. The model of worms transmission is derived by modifying a SIRS epidemic model. In this case, we consider that the transmission rate, recovery rate and rate of susceptible after recovery follows fuzzy membership functions, rather than constants. To study the transmission of worms in a computer network, we solve the model using the fourth order Runge-Kutta method. Our numerical results show that the fuzzy transmission rate and fuzzy recovery rate may lead to a changing of basic reproduction number which therefore also changes the stability properties of equilibrium points.

AB - In this paper we study numerically the behavior of worms transmission in a computer network. The model of worms transmission is derived by modifying a SIRS epidemic model. In this case, we consider that the transmission rate, recovery rate and rate of susceptible after recovery follows fuzzy membership functions, rather than constants. To study the transmission of worms in a computer network, we solve the model using the fourth order Runge-Kutta method. Our numerical results show that the fuzzy transmission rate and fuzzy recovery rate may lead to a changing of basic reproduction number which therefore also changes the stability properties of equilibrium points.

KW - fuzzy epidemic model

KW - fuzzy membership functions

KW - worms

UR - https://www.scopus.com/pages/publications/85007360207

U2 - 10.1063/1.4914431

DO - 10.1063/1.4914431

M3 - Conference contribution

AN - SCOPUS:85007360207

T3 - AIP Conference Proceedings

SP - 48

EP - 52

BT - Symposium on Biomathematics, SYMOMATH 2014

A2 - Gotz, Thomas

A2 - Suryanto, Agus

PB - American Institute of Physics Inc.

T2 - 2nd International Symposium on Biomathematics, SYMOMATH 2014

Y2 - 31 August 2014 through 2 September 2014

ER -

Simulation of worms transmission in computer network based on SIRS fuzzy epidemic model

Abstract

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UN SDGs

Keywords

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