Abou-Ismail, Anas. “Compartmental Models of the COVID-19 Pandemic for Physicians and Physician-Scientists.” *SN Comprehensive Clinical Medicine*, June 2020, pp. 1–7. *PubMed*, doi:10.1007/s42399-020-00330-z.

This article provides an overview of the derivation of the SIR, SEIR, and SUQC compartmental models. The first two models can be found in my other post, **SEIR Modeling of the Italian Epidemic of SARS-CoV-2 Using Computational Swarm Intelligence.** Here, I will discuss the derivation of the SUQC model and a few other terms.

The **basic reproductive number** (the number of people a contagious person infects) for an infectious disease is:

, or the ratio between the rate at which people move from *Susceptible* to *Infected* over the rate at which people move from *Infected* to *Removed* (pg 856)

The **herd immunity threshold (HIT)** is “the minimum ratio of individuals that must become immune to a disease so that it would die out” (pg 857). It is given as:

.

The **SUQC** model was used by Zhao et al. to describe the progression between *Susceptible, Un-quarantined Infected, Quarantined Infected,* and *Confirmed Infected* (pg 858). The model is defined as follows (where *N* is the total population):

Zhao S, Chen H, et al. Modeling the epidemic dynamics and control of COVID-19 outbreak in China. Quant Biol. 2020;8:11–9. https:// doi.org/10.1007/s40484-020-0199-0.

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