Analysis of the Effects of Foreign Travelers and Immigrants on Omicron Transmission in Indonesia

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Susila Bahri, Indah Fitrialita, Hamidah Nasution, Riri Lestari, Lili Fajria

2024 International Journal of Mathematics and Computer Science Vol. 19 Issue 3 Article Cited by 4 Quartile

Abstract

The Indonesian government wanted to determine the transmission of the Omicron virus via immigrants and foreign tourists in Indonesia. Hence, the Omicron transmission Susceptible–Infectious–Recovered model, with parameters of foreign travelers and immigrants was constructed. Then, using the next-generation matrix method, it was discovered that when the number of foreign travelers and immigrants who entered Indonesia (a) is constant and the number of foreign travelers who leave Indonesia (c) varies, the basic reproductive number is R0 = 5.6. Conversely, when the number of foreign travelers and immigrants entering Indonesia (a) varies and the number of foreign travelers leaving Indonesia (c) is constant, the basic reproductive number is R0 = 6.7. © (2023), (Badih/Ghusayni). All Rights Reserved.

Affiliations

Department of Mathematics and Data Science, Faculty of Mathematics and Natural Sciences, Andalas University Padang, West Sumatra, Indonesia; Department of Mathematics, Faculty of Mathematics, and Natural Sciences, Medan State University Medan, North Sumatra, Indonesia; Department of Nursing, Faculty of Nursing, Andalas University Padang, West Sumatra, Indonesia