What the fuck is this bullshit. These are the models for population growth using scramble and contest competition. P is population, r is growth rate, K is carrying capacity of an environment. Scramble competition assumes random allocation of food and grows to carrying capacity (K) and then levels out. No problem.
The second one is the model for contest competition. Fuck you Beverton-Holt, because that CLEARLY converges to r/2, not K. In what fucking universe does that work?
Growth rate = 1.5, carrying capacity=1000. Converges on 500. Im so fucking butthurt.
>>8965849
P(t) = K/(1+(K-P0/P0)*e^-kt)
I'm not sure but I think this is it
>>8965870
*e^-rt
>>8965870
Ya P=K*P0 / (P0 + (K-P0)R^-t) is the solution, but I needa compare the iterative functions. Fuck mandrills, and their stupid ass foraging/ranging behaviour.