Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika
Vol 3 No 2 (2021): Alifmatika - December

PEMODELAN MATEMATIKA TERHADAP PENYEBARAN VIRUS KOMPUTER DENGAN PROBABILITAS KEKEBALAN

Neni Nur Laili Ersela Zain (Program Studi Matematika Universitas Airlangga, Indonesia)
Pardomuan Robinson Sihombing (Badan Pusat Statistik, Indonesia)



Article Info

Publish Date
07 Sep 2021

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.

Copyrights © 2021






Journal Info

Abbrev

Alifmatika

Publisher

Subject

Religion Education Mathematics Physics Other

Description

Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika (Alifmatika: Journal of Mathematics Education and Learning) published by Faculty of Tarbiyah in Ibrahimy University. Registered numbers e-ISSN: 2715-6109 and p-ISSN: 2715-6095. published biannually in June and December. The Focus of this ...