A Competing Species Model

  • #1
First off, Thanks in advance for anyone that can provide me with some help on this one.

i'm trying to tackle this problem and am not totally sure on probably this simplest part of the whole thing. I'm trying to find the equilibrium points for this competing model.

Obviously (0,0) is an equilib point but I just can't think of an easy way to find the rest of the equilibrium points.

Any of your help is appreciated. Thanks again.
 

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Answers and Replies

  • #2
You must find points such that both dx/dt and dy/dt are simultaneously zero. So you have two equations and two variables, find all solutions to this system of equations, i.e. substitute 0 in for dy/dt and dx/dt, then solve the system of equations for x and y.

--J
 

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