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Direction Field of Lotka-Volterra ODE

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Dear PTC Community,

 

for my studies I have to analyse the Lotka-Volterra ODE System. Now I want to use some plot like the following:

 

LV_phase.jpg

 

There you can see the Direction Field of the ODE in a phase plot. The standard equations are like:

 

LV_eq.jpg

 

Also I found the invariant of the System:

 

LV_invariant.jpg

 

 

Question is: how to make such nice looking direction field plot? From which equation is this going out? I am using Prime 2

 

Thanks so far

Patrick

 

 

PS: I come across this

 

http://communities.ptc.com/docs/DOC-3503

 

but dont know anything to do...


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