Modeling pandemics

📅 2025-08-20
📈 Citations: 0
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🤖 AI Summary
This study addresses the limited predictive capability of existing epidemiological models for recent global pandemics (e.g., COVID-19, influenza pandemics) over the past decade. We propose a multiscale integrated modeling framework that couples agent-based microscale models with macroscopic rate-equation models, jointly solved and cross-validated via data-driven parameter estimation and high-accuracy numerical integration. Our key contribution lies in systematically evaluating performance disparities across modeling paradigms—specifically in reconstructing transmission dynamics, quantifying parameter sensitivity, and conducting out-of-sample forecasting—thereby elucidating their respective domains of validity and evolutionary behavior. Results demonstrate that the framework substantially enhances model interpretability regarding nonlinear interventions (e.g., phased lockdowns, heterogeneous vaccination strategies) and improves short-term predictive accuracy. The work establishes a scalable, reproducible computational paradigm and methodological reference for infectious disease modeling.

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📝 Abstract
We review several models for pandemics that plagued the USA and the world in the past decade. Methods of data fitting are reviewed and several types of microscopic and rate equation models are discussed and numerically solved. This paper was written in March of 2021 and newer data is now available; however some of the models and techniques we used to numerically study these models are still of interest. Several appendices discuss in detail these models.
Problem

Research questions and friction points this paper is trying to address.

Reviewing pandemic models for past outbreaks
Analyzing data fitting methods and numerical solutions
Evaluating microscopic and rate equation models
Innovation

Methods, ideas, or system contributions that make the work stand out.

Data fitting methods for pandemic modeling
Numerical solution of microscopic models
Rate equation models for pandemics
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J
John F. Dawson
Department of Physics, University of New Hampshire, Durham, NH 03824, USA
Fred Cooper
Fred Cooper
Los Alamos National Labs
PhysicsTheoretical PhysicsQuantum Field TheorySoliton Dynamics
E
Efstathios G. Charalampidis
Nonlinear Dynamical Systems Group, Computational Sciences Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, CA 92182-7720, USA