Mathematics, 06.03.2021 02:50 s11632270
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)
Answers: 3
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