• Sep 10th 2010, 03:37 AM
The population of penguins on a small island at time t is p1(t) and the population of iguanas at the same time is p2(t).

Dp1/dt = p1(1 - p1/75) - p1p2/200

Dp2/dt = p2/2(1 - p2/20) + p1/p2/75

I need to find the equation for the penguin population when there are no iguanas and find the possible steady state of the population

To find the Equation do I set p2 = 0
The integrate with respect to p1 to find what P1 equals??

I'm not sure how to find the steady states though..
• Sep 10th 2010, 03:46 AM
mr fantastic
Quote:

The population of penguins on a small island at time t is p1(t) and the population of iguanas at the same time is p2(t).

Dp1/dt = p1(1 - p1/75) - p1p2/200

Dp2/dt = p2/2(1 - p2/20) + p1/p2/75

I need to find the equation for the penguin population when there are no iguanas and find the possible steady state of the population

To find the Equation do I set p2 = 0
The integrate with respect to p1 to find what P1 equals?? Mr F says: Yes.

I'm not sure how to find the steady states though..

Steady state of populations: Substitute $\displaystyle \frac{d p_1}{dt} = 0$ and $\displaystyle \frac{d p_2}{dt} = 0$ and solve for $p_1$ and $p_2$.