PLEASE HELP! Equilibria and Stability: Suppose that a population study on Pygmy

Question

PLEASE HELP! Equilibria and Stability:
Suppose that a population study on Pygmy Rabbits in a particular region finds that the population, P(t), of the Pygmy Rabbits satisfies the differential equation:

dP/dt=P(r-a(P-b)^2)

Where r=.4 , a=.02 , and b=50. Find the equilibria for this differential equation.

a. Determine the stability of the equilibria of this model
b. Describe what happens to the following starting populations of the Pygmy Rabbits as predicted by this model.
i. 20
ii. 50
iii. 80
iv. 100

Explanation / Answer

for equilibrium dp/dt =0 ie P(r-a(p-b)^2)=0 hence (p-b)^2 =r/a =20 hence p = 54.47 or p = 45.53

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.