Susceptible-Infected-Recovered (SIR) Dynamics of COVID-19 and Economic Impact
Alexis Akira Toda

TL;DR
This paper models COVID-19's spread using the SIR framework, revealing rapid transmission, healthcare overload risks, and economic impacts, while evaluating mitigation policies' effects on health and markets.
Contribution
It estimates a heterogeneous SIR model for COVID-19, quantifies peak infection levels, and assesses economic impacts of mitigation strategies.
Findings
28% of population infected at peak without mitigation
Optimal policies reduce peak infection to 6.2%
Stock market drops 50% in baseline, with a W-shaped recovery under mitigation
Abstract
I estimate the Susceptible-Infected-Recovered (SIR) epidemic model for Coronavirus Disease 2019 (COVID-19). The transmission rate is heterogeneous across countries and far exceeds the recovery rate, which enables a fast spread. In the benchmark model, 28% of the population may be simultaneously infected at the peak, potentially overwhelming the healthcare system. The peak reduces to 6.2% under the optimal mitigation policy that controls the timing and intensity of social distancing. A stylized asset pricing model suggests that the stock price temporarily decreases by 50% in the benchmark case but shows a W-shaped, moderate but longer bear market under the optimal policy.
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Taxonomy
TopicsCOVID-19 epidemiological studies · COVID-19 Pandemic Impacts
