Mathematical Modelling of Pandemic Dynamics: Predictive Insights and Policy Implications

Authors

  • Dr. R.B. Tiwari Author
  • Dr. Alok Kumar Shukla Author
  • Dr. Vishwas Tiwari Author

DOI:

https://doi.org/10.65579/sijri.2025.v2i2.02

Keywords:

Pandemic dynamics, mathematical modelling, epidemiological models, SIR model, disease transmission, predictive analysis, public health policy, intervention strategies, sensitivity analysis, outbreak forecasting

Abstract

During pandemics, infectious diseases spread at a high rate assuming great challenges to both the health system, policymakers, and economies of nations across the globe. The use of mathematical modelling has become one of the most important tools in terms of how the pandemic dynamics, disease spreading forecasting, and evidence-based policy are understood. This paper will be concerned with the mathematical modeling of pandemic transmission based on compartmental models to examine patterns of transmission, evaluate how the intervention will work, and produce predictive information. In the study, the deterministic model is used whereby the Susceptible-Infected-Recovered (SIR) and its variations are used to estimate the relevant parameters in epidemiological terms, including the rate of transmission, recovery rate, and basic reproduction number. Calibration is done by means of secondary epidemiological data to model the different outbreak situations under different interventions by the public health.

The results indicate that timely policy interventions like social distancing, vaccination interventions, and mobility limits are effective in order to decrease infection peaks, and general disease burden. The sensitivity analysis has shown that a minor alteration in the parameters of transmission may result in significant differences in the history of outbreaks, which underscores the significance of rapid and focused interventions. The paper also demonstrates how mathematical models may be used to help policymakers making comparisons between different strategies and projecting the needs in terms of healthcare resources.

In addition to forecasting in the short-run, the study also highlights the relevance of mathematical modelling in long-term pandemic preparedness and response planning. The combination of epidemiological data and mathematical models makes the study a useful contribution to the optimization of the priorities of the population health concerning socio-economic factors. The findings highlight the importance of open, flexible and evidence-based modelling strategies to inform decision-making in times of health disasters. In general, the study can be added to the increasing body of evidence that shows that mathematical modelling can help eliminate the gap between theoretical analysis and practical policy-making in coping with current and upcoming pandemics.

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Published

2026-02-05