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## Homework Statement

x'=x(1+2x-x

^{2}-y)

y'=y(x-a)

I need help finding the equilibrium points of this system.

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- Thread starter sana2476
- Start date

- #1

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x'=x(1+2x-x

y'=y(x-a)

I need help finding the equilibrium points of this system.

- #2

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What part are you confused about?

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Consider the predator prey type of system that's given above with a>0. The population x is prey. By itself, its rate of growth increases for small populations and then decreases for x>1. The predator is given by y, and it dies out when no prey is present. The parameter is given by a. You are asked to show that this system has a Hopf bifurcation.

i) Find the fixed point (x

- #4

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Can x_{a} or y_{a} be 0?

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