logistics and integral calculas
Can somebody please help me with this homework question. I haven’t got much of an idea on what to do!
Infection rate of a disease has a constant of 0.004, this may be represented mathematically by -
dN/dt = 0.0004N(1000-N), N(0)=1
1. Using Integral calculus derive a model to determine the number of people with this disease and any time “t”.
2. Use this model to predict how long it will take for 75% of the population will be infected. Population = 1000
3. Discuss the limitations of the model for long term predictions.