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June 3, 2026Public Health Challenges0 citationsOpen Access

Integration of Developed Mathematical Model for Predicting and Monitoring the Spread of Epidemics and Pandemics: The Case of COVID‐19 in Rwanda

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JNJean Marie NtagandaINInnocent NgaruyeDNDenis Ndanguza

Key Points

  • The research aims to develop a mathematical model to predict and monitor COVID-19 transmission in Rwanda.
  • Developed a context-specific mathematical modeling framework incorporating differential equations.
  • Calibrated and validated using national COVID-19 surveillance data from March 2020 to December 2022.
  • Utilized parameter optimization through least-squares fitting and cross-validation techniques.
  • Successfully captured infection trends and healthcare burden with a strong model validation.
  • Achieved high accuracy in out-of-sample predictions, demonstrated by low RMSE and high R² values.

Abstract

ABSTRACT This study presents a novel, context‐specific mathematical modeling framework for predicting and monitoring COVID‐19 transmission in Rwanda, addressing the increasing demand for integrated and data‐driven public health decision‐support tools. The model incorporates localized epidemiological dynamics, transmission pathways, and major intervention measures, including lockdowns, vaccination, quarantine, and home‐based care, which is considered a critical factor influencing disease transmission. Using a system of differential equations, the framework models transition among infected, home‐based care, hospitalized, recovered, and deceased populations. The model was calibrated and validated using Rwanda's national COVID‐19 surveillance data collected between March 2020 and December 2022, covering multiple epidemic waves and intervention phases. Calibration utilized time‐series data on confirmed cases, active infections, hospitalizations, intensive care unit admissions, recoveries, and mortality. Detailed home‐based care records improved the estimation of transmission and recovery parameters. Parameter optimization was performed through least‐squares fitting and cross‐validation techniques. Model performance was assessed using the root mean square error (RMSE) and the coefficient of determination ( R 2 ) metrics. Validation through out‐of‐sample predictions demonstrated strong accuracy in capturing infection trends and healthcare burden. An interactive dashboard complements the framework by enabling real‐time analytics, forecasting, and evidence‐based public health decision‐making.

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Cite This Study

Ntaganda et al. (2026) studied this question.

synapsesocial.com/papers/6a1fc530dee9eb8c0dce69d9https://doi.org/10.1002/puh2.70287
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