Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Safe policy design for controlling epidemic spreading under heterogeneous testing capabilities
P. Mestres, J. Cortés
American Control Conference, Atlanta, Georgia, 2022, pp. 697-702
Abstract
This paper studies a model that captures epidemic
spreading in a population with heterogeneous testing
capabilities. The detection of the disease is faster in
a subpopulation because of access to better testing
capabilities, whereas another subpopulation relies on
standard testing to confirm positive cases once
individual have manifested symptoms. This model is a
particular case of a recently proposed vectorized SIR
model, for which we characterize various invariance
properties and the stability properties of its set of
equilibria. We leverage these analytical results to
design social distancing policies that guarantee that
the impact of the pandemic satisfies certain
specifications, namely, that the total capacity of the
healthcare system does not get overburdened and that
the total number of infections throughout the pandemic
remains below a threshold. Simulations illustrate the
extent to which higher testing capabilities allow for
more lenient social distancing policies.
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Mechanical and Aerospace Engineering,
University of California, San Diego
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La Jolla, California, 92093-0411
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cortes at ucsd.edu
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