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Corona-virus-covid-19-is-spreading-through-a-certain-country-Let-the-constant-S-be-the-number-of-people-susceptible-to-infection-The-infection-rate-is-proportional-to-the-the-product-of-the-alre




Question Number 178682 by MikeH last updated on 20/Oct/22
Corona virus (covid āˆ’19) is spreading through a  certain country. Let the constant S be the number  of people susceptible to infection.  The infection rate  is proportional to the the product of the already  infected people (x) and the number of susceptible but   but uninfected people (Sāˆ’x). establish the   differential equation.
$$\mathrm{Corona}\:\mathrm{virus}\:\left(\mathrm{covid}\:āˆ’\mathrm{19}\right)\:\mathrm{is}\:\mathrm{spreading}\:\mathrm{through}\:\mathrm{a} \\ $$$$\mathrm{certain}\:\mathrm{country}.\:\mathrm{Let}\:\mathrm{the}\:\mathrm{constant}\:{S}\:\mathrm{be}\:\mathrm{the}\:\mathrm{number} \\ $$$$\mathrm{of}\:\mathrm{people}\:\mathrm{susceptible}\:\mathrm{to}\:\mathrm{infection}.\:\:\mathrm{The}\:\mathrm{infection}\:\mathrm{rate} \\ $$$$\mathrm{is}\:\mathrm{proportional}\:\mathrm{to}\:\mathrm{the}\:\mathrm{the}\:\mathrm{product}\:\mathrm{of}\:\mathrm{the}\:\mathrm{already} \\ $$$$\mathrm{infected}\:\mathrm{people}\:\left({x}\right)\:\mathrm{and}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{susceptible}\:\mathrm{but}\: \\ $$$$\mathrm{but}\:\mathrm{uninfected}\:\mathrm{people}\:\left({S}āˆ’{x}\right).\:\mathrm{establish}\:\mathrm{the}\: \\ $$$$\mathrm{differential}\:\mathrm{equation}. \\ $$

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