The MATH of Epidemics | Intro to the SIR Model

How do organizations like the WHO and CDC do mathematical modelling to predict the growth of an epidemic? In this video we introduce the Susceptible- Infected-Recovered or SIR model. This is a simple system of differential equations that qualitatively behalves in a reasonable way. Studying this near the beginning gives a value called R_0 which governs the early growth rate which is exponential growth and is a standard metric in epidemilogy. Indeed real world data shows the current epidemic is well modeled by this kind of exponential growth.

PART II here: https://www.youtube.com/watch?v=f1a8JYAixXU

0:00 Assumptions of the SIR Model
3:10 Derivation of the SIR Model
6:44 Graphing the SIR Model
8:58 Finding R0
13:43 Real World Data
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Course Playlists:

►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m

► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n

► MULTIVARIABLE CALCULUS III https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd

►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS

►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6

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► Want to learn math effectively? Check out my "Learning Math" Series:
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►Want some cool math? Check out my "Cool Math" Series:
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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.

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Видео The MATH of Epidemics | Intro to the SIR Model канала Dr. Trefor Bazett