Special Session 6: Modeling and Data Analysis for Complex Systems and Dynamics

Forecasting the Long-Term Trends of Tuberculosis Using the Time-series Analysis and Susceptible-Infectious-Recovered (SIR) Model

Aigerim Kalizhanova
Nazarbayev University
Kazakhstan
Co-Author(s):    Sauran Yerdessov, Yesbolat Sakko, Aigul Tursynbayeva, Shirali Kadyrov, Abduzhappar Gaipov, Ardak Kashkynbayev
Abstract:
Tuberculosis (TB) is a highly contagious disease that remains a global concern affecting numerous countries. Kazakhstan has been facing considerable challenges in TB control for decades. This talk explains TB dynamics by developing and comparing statistical and deterministic models: Seasonal Autoregressive Integrated Moving Average (SARIMA) and the basic Susceptible-Infected-Recovered (SIR). TB data from 2014 to 2019 were collected from the Unified National Electronic Health System (UNEHS) using retrospective quantitative analysis. SARIMA models were able to capture seasonal variations, with Model 2 exhibiting superior predictive accuracy. Both models showed declining TB incidence and revealed a notable predictive performance evaluated by statistical metrics. In addition, the SIR model calculated the basic reproduction number ($R_0$) below 1, indicating a receding epidemic. Models proved the capability of each to accurately capture trends (SARIMA) and provide mathematical insights (SIR) into TB dynamics. This talk contributes to the general knowledge of TB dynamics in Kazakhstan thus laying the foundation for more comprehensive studies on TB and control strategies.