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ISU20CpreE
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Partial Fractions:
A single infected individual enters a comunnity of n susceptible individuals. Let x be the number of newly infected individuals at time t. The common epidemic model assumes that the disease spreads at a rate proportional to the product of the total number infected and the number not yet infected.So
[tex] \frac {dx} {dt} = k(x+1) (n-x) [/tex] and you obtain [tex] \int\frac {1} {(x+1)(n-x)} dx = \int k dt [/tex] I need to know how to set up the problem and then work from there.
Any suggestions.
A single infected individual enters a comunnity of n susceptible individuals. Let x be the number of newly infected individuals at time t. The common epidemic model assumes that the disease spreads at a rate proportional to the product of the total number infected and the number not yet infected.So
[tex] \frac {dx} {dt} = k(x+1) (n-x) [/tex] and you obtain [tex] \int\frac {1} {(x+1)(n-x)} dx = \int k dt [/tex] I need to know how to set up the problem and then work from there.
Any suggestions.
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