Analysis and Estimation of Networked SIR & SEIR Models with Transportation Networks
Damir Vrabac, Raphael Stern, Philip E. Par\'e
TL;DR
This paper introduces discrete-time networked SIR and SEIR epidemic models, analyzes their behavior, and provides conditions for estimating parameters from data, supported by simulations.
Contribution
It presents a novel framework for modeling epidemic spread over transportation networks and establishes conditions for parameter estimation from observed data.
Findings
Models are well-defined under specific assumptions.
Necessary and sufficient conditions for parameter estimation are derived.
Simulation results validate the theoretical analysis.
Abstract
In this paper we present the discrete-time networked SIR and SEIR models and present assumptions under which they are well defined. We analyze the limiting behavior of the models and present necessary and sufficient conditions for estimating the spreading parameters from data. We illustrate these results via simulation.
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Taxonomy
TopicsWireless Communication Networks Research · Cooperative Communication and Network Coding · Mobile Ad Hoc Networks