Sketch the expectation function for the logistic growth model (12.34) for (theta_{1}=1, theta_{3}=1), and values of (theta_{2}=1,4,8),

Question:

Sketch the expectation function for the logistic growth model (12.34) for $\theta_{1}=1, \theta_{3}=1$, and values of $\theta_{2}=1,4,8$, respectively. Overlay these plots on the same $x-y$ axes. Discuss the effect of $\theta_{2}$ on the shape of the function.

Equation (12.34)