This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.
A decent match to the data is made with Wolf Death Rate = 0.15 Wolf Birth Rate Factor = 0.0203 Moose Death Rate Factor = 1.08 Moose Birth Rate = 0.4 Carrying Capacity = 2000 Initial Moose: 563 Initial Wolves: 20
I used RK-4 with step-size 0.1, from 1959 for 60 years.
The moose birth flow is MBR*M*(1-M/K) Moose death flow is MDRF*Sqrt(M*W) Wolf birth flow is WBRF*Sqrt(M*W) Wolf death flow is WDR*W