I have two first order differential equations of the following:
x'=pxy - qx
y'=rxy - sy
These two equations are meant to mimic two interacting populations.
Is it possible to rearrange them into the Lotka-Volterra equations to solve them for equilibrium points?
this would give:
x'=px(1 - y/Y)
y'=-ry(1 - x/X)
[IMG]file:///C:/DOCUME%7E1/Paul/LOCALS%7E1/Temp/moz-screenshot-2.jpg[/IMG][IMG]file:///C:/DOCUME%7E1/Paul/LOCALS%7E1/Temp/moz-screenshot-3.jpg[/IMG][IMG]file:///C:/DOCUME%7E1/Paul/LOCALS%7E1/Temp/moz-screenshot-4.jpg[/IMG]also I have a computer question related to this question:
this is bit im having a problem with:
i need to enter into the program u(x,y).
u(x,y) = dx/dt where x(t) = [x(t) y(t)]^T
is it the equations from earlier in the question? or do I have to change the form of them???