Chapter 6.5, Problem 7E

To determine

(a)

To find:

The value of $F$ such that the biomass of Pacific sardines remains stable.

To determine

(b)

(i)

To find:

The graph of $\frac{dN}{dt}$ versus $N$ and the equilibrium solutions.

To determine

(b)

(ii)

To find:

The value of $N$ at which the biomass will be increasing and decreasing.

To determine

(b)

(iii)

To find:

Sketch equilibrium solutions and graphs of $N$ versus $t$ for $N\left(0\right)=0.3\text{million}\text{tons}$, $N\left(0\right)=1.0\text{million}\text{tons}$, and $N\left(0\right)=2.3\text{million}\text{tons}$.

To determine

(b)

(iv)

To define:

The figure in part (iii) practically and significance of the equilibrium solutions.