Partial Fractions:(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Please i need some help in Partial Fractions

**Physics Forums | Science Articles, Homework Help, Discussion**