Question

Hello need help to solve, thank you

The simplest such function is a linear function as shown in the right panel: ΔΡ In other words, AP by: P (1) an, since P+1PAP, the model can also be described One calls this the logistic model. (To be more precise, one should call it the "discrete" logistic model to differentiate it from the continuous model studied for ODE's.) Note that when the population is small (meaning that P < K), P/K0 so we have P+ AP, where λ-1+ r in other words, when the population is far below the carrying capacity, we have a behavior just as in the simpler exponential growth model. There is no simple expression for the iterates, comparable to "X Po" for the exponential growth model. However, we can numerically iterate in order to have some feel for the solutions. It is rather amazing