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At t=0, half an alligator population (50,000) has contracted a disease that causes them to loose their teeth. Initial populations is 100,000. Disease spreads at rate of 1000 per day.

I know that dP/dt = kP(M-P), but I am confused in how what is given in the problem relates. I am confused by P, Po and M. A suggestion is to find the value of k by substituting P(0) and P'(0) in the logistic equation above.

Thanks,

Bob