Population Growth Comparison: Logistic vs. Linear
Consider a population that is modeled by a logistic function and a linear function. The logistic model is given by \(P(t)=\frac{K}{1+A\,e^{-rt}}\) where \(K\) is the carrying capacity, \(r\) is the intrinsic growth rate, and \(A\) is a constant determined by the initial condition \(P(0)=P_0\). The linear model is represented by \(L(t)=mt+c\) where \(m\) is the […]