PEMODELAN MATEMATIKA TERHADAP PENYEBARAN VIRUS KOMPUTER DENGAN PROBABILITAS KEKEBALAN
Abstract
The increase in the number of computer viruses can be modeled with a mathematical model of the spread of SEIR type of diseases with immunity probability. This study aims to model the pattern of the spread of computer viruses. The method used in this research is the analytical method with the probability of mathematical immunity. Based on the analysis of the model, two equilibrium points free from disease E1 and endemic equilibrium points E2 were obtained. The existence and local stability of the equilibrium point depends on the basic reproduction number R0. Equilibrium points E1 and E2 tend to be locally stable because R0<1 which means there is no spread of disease. While the numerical simulation results shown that the size of the probability of immunity will affect compartment R and the minimum size of a new computer and the spread of computer viruses will affect compartments S and E on the graph of the simulation results. The conclusion obtained by the immune model SEIR successfully shows that increasing the probability of immunity significantly affects the increase in the number of computer hygiene after being exposed to a virus.
Downloads
References
Anton, H. (2005). Elementary Linear Algebra Ninth Edition. USA: John and Sons, Inc.
Batista, F. K. (2018). A SEIR Model for Computer Virus Spreading Based on Cellular Automatic. International JointConference SOCO’17-ICEUTE’17 Leon, Proceedings, Advance in Intelligent Systems and Computing. 64. Springer International Publication.
Diekmann, O., & Heesterbeek, J. (2000). Mathematical epidemiology of infectious diseases: Model building, analysis and interpretation. International Journal of Epidemiology, 303-310.
Etbaigha, F., Willms, A. R., & Poljak, Z. (2018). An SEIR Model of Influenza A Virus Infection and Reinfection within A Farrow-to-Finish Swine Farm. PLOS One, 13(9).
Godio, A., P. F., & Vergnano, A. (2020). SEIR Modeling of the Italian Epidemic of SARS-CoV-2 Using Computational Swarm Intelligence. International Journal of Enviromental Research and Public Health, 17.
Hethcote, H. W. (1976). Qualitative Analyses of Communicable Disease Models. Mathematical Biosciences, 28, 335-356.
Jones, D., & Sleeman, B. ( 2003). Differential Equations and Mathematical Biology. New York: CRC Press.
Juhari. (2015). Modul Praktikum Pemrograman Komputer 2 (Pemrograman Java). Malang: UIN Malang.
Kermack, W., & McKendrick, A. (1927). A Contribution to the Mathematical Theory of Epidemics. Proc. R. Soc, 115, 700-721.
Khan, M. (2014). A Computer Virus Propagation Model Using Delay Differential Equations with Probabilistic Contagion and Immunity. I. Vol.6, No.5. nternational Journal of Computer Network & Communocations (IJCNC), 6(5), 111-128.
Olsder, G. J., & Woude, J. W. (2003). Mathematical System Theory. Netherland: VVSD.
Pemungkas, P. P., Sutrisno, & Sunarsih. (2019). Pengembangan model epidemik sira untuk penyebaran virus pada jaringan komputer. Journal of fundamental mathematics and applications (jfma), 2(1), 13-21.
Perko, L. (2001). Differential Equations and Dynamical System: Third Edition. New York: : Springer-Verlag.
Safi, M. A., & Garba, S. M. (2012). Global Stability Analysis of SEIR Model with Holling Type II Incidence Function. . Volume 2012, Article ID 826052. . Computational and Mathematical Methods in Medicine.
Setiawan, N. F. (2017). Analisis Dan Simulasi Model Sitr Pada Penyebaran Penyakit Tuberkulosis di Kota Makassar. Makassar: Universitas Makasar.
Sihotang. (2019). Analisis Kestabilan Model SEIR Penyebaran Penyakit Campak dengan Pengaruh Imunisasi dan Vaksin MR. Jurnal Matematika, Statistika & Komputasi, 16(1), 107-113.
Yang, L.-X. (2012). A Computer Virus Model with Graded Cure Rates. Nonlinear Analysis: Real World Applications, 14, 414-422.
Copyright (c) 2021 Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
COPYRIGHT NOTICE
Author (s) who publish in Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika agree to the following terms:
- The Author (s) submitting a manuscript do so on the understanding that if accepted for publication, copyright of the article shall be assigned to Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika, Tarbiyah Faculty of Ibrahimy University as the publisher of the journal. Consecutively, author(s) still retain some rights to use and share their own published articles without written permission from Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika. This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
- Copyright encompasses rights to publish and provide the manuscripts in all forms and media for the purpose of publication and dissemination, and the authority to enforce the rights in the manuscript, for example in the case of plagiarism or in copyright infringement.
- Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika and the Editors make every effort to ensure that no wrong or misleading data, opinions or statements be published in the journal. In any way, the contents of the articles and advertisements published in Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika are the sole responsibility of their respective authors and advertisers.
- The Copyright Transfer Form can be downloaded here [Copyright Transfer Form Alifmatika]. The copyright form should be signed originally and send to the Editorial Office in the form of original mail, scanned document to alifmatika[at]ibrahimy.ac.id or upload the scanned document in the comments column when sending the manuscript.
Abstract viewed = 996 times
FULL TEXT PDF downloaded = 1142 times
_by_Matematohir.jpg)
