the info given: A different method of population control is to introduce a predator. If the forest service introduces wolves, (you may assume wolves were extinct in this area in the past), for every 20 wolves, 80 deer per year will die. The service is considering introducing a pack of 100 wolves. As long as the deer population is 10 times the wolf population, the wolf population will grow at the rate of 10% per year; if the deer population is between 5 and 10 times the wolf population,then the wolf population will grow at the rate of 5% per year; if the deer population is between 2 and 5 times the wolf population, the wolf population will grow at 1% per year; and if the deer population is less than twice the wolf population, then the wolf population will decrease at 2% per year. Using the model a=1(with no hunting licenses)project what the introduction of wolves will do to the deer population
we were ask to model $P=kP^a$ given specific a values. when a=1 i got $P(t)=Ae^{kt}$ so using using that for the deer population how would you incorporate wolves. my current thoughts where on using $P=rP(1-\frac{p}{k})$ so that k represented the changing population of the deer which operates as the wolves population capacity.
I'm just not sure
- if this is the write approach
- where to even begin adding this to the $P(t)=Ae^{kt}$