Question

The fish population in a pond evolves according to the logistic equation and a percentage of fish are removed for each unitof time. The situation is modeled by:
dN/dt=rN(1−N/K)−hN

Suppose that the carrying capacity is 900 fish, the intrinsic growth rate is equal to 2, and the harvest rate is 20%.

a. Use the graphical or eigenvalue approach to find and determine the equilibria and their stability.
b. Sketch the solution curves for No=700 and No=1100. (You must label your horizontal and vertical axis)

Answer 1

Step-by-step explanation:

Suppose that the carrying capacity is 900 fish, the intrinsic growth rate is equal to 2, and the harvest rate is 20%.

a. Use the graphical or eigenvalue approach