Yoli Agnesia, Agus Yodi Gunawan
The population set is typically split into two groups for epidemic disease modeling: Susceptible (S) and Infected (I). A discrete-time Markov Chain (DTMC), a probability function representing the number of infected populations against time, is used in this article to construct the SIS epidemic model. The SIS epidemic model's numerical simulation demonstrates that the probability function of the absorbing state increases with time. This means that the probability of an epidemic disease leading to a disease-free state is close to 1. In addition, based on the expected duration value in achieving a disease-free state, it is obtained that the smaller the initial population size, the faster the disease disappears. © 2026 Author(s).
Department of Mathematics, Universitas Negeri Padang, Padang, Indonesia; Mathematics Program, Institut Teknologi Bandung, Bandung, Indonesia
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