That model includes two constants, “transm" and "recov;" use Ct instead of "transm," and use cr instead of "recov." In Geogebra, we could tweak these values. a. In this system, what is the equation for S'(t) = dS/dt? b. In this system, what is the equation for I(t) = dI/dt? c. In this system, what is the equation for R'(t) = dR/dt?

Biology Today and Tomorrow without Physiology (MindTap Course List)
5th Edition
ISBN:9781305117396
Author:Cecie Starr, Christine Evers, Lisa Starr
Publisher:Cecie Starr, Christine Evers, Lisa Starr
Chapter10: Biotechnology
Section: Chapter Questions
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The SIR model of pandemics (such as COVID-19) considers three variables: S (those
susceptible to the disease) I (those infected with the disease), and R (those recovered or
removed from the illness). This model has a system of three differential equations, one for
the derivative of each variable. We viewed the video entitled "The Coronavirus Curve -
Numberphile," and we also rebuilt this model in Geogebra ourselves.
That model includes two constants, "transm" and "recov:" use Ct instead of "transm," and
use cr instead of "recov." In Geogebra, we could tweak these values.
a. In this system, what is the equation for S'(t) = dS/dt?
b. In this system, what is the equation for I'(t) = dI/dt?
c. In this system, what is the equation for R'(t) = dR/dt?
d. Who made this video?
Transcribed Image Text:The SIR model of pandemics (such as COVID-19) considers three variables: S (those susceptible to the disease) I (those infected with the disease), and R (those recovered or removed from the illness). This model has a system of three differential equations, one for the derivative of each variable. We viewed the video entitled "The Coronavirus Curve - Numberphile," and we also rebuilt this model in Geogebra ourselves. That model includes two constants, "transm" and "recov:" use Ct instead of "transm," and use cr instead of "recov." In Geogebra, we could tweak these values. a. In this system, what is the equation for S'(t) = dS/dt? b. In this system, what is the equation for I'(t) = dI/dt? c. In this system, what is the equation for R'(t) = dR/dt? d. Who made this video?
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