phase portrait of a Lotka-Volterra competitive model with two species in octave
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I need to make a phase portrait of a Lotka-Volterra competitive model with two species in GNU octave and I do not know how to do it. I manage to get to made the vector field. But I do not know how to made the different curves for the different initial values.
The equations that I am using are:
x' = x*(a-sigma*x-b*y)
y' = y*(-c+d*x-gamma*y)
The code that I managed to make for the vector field was:
>> a = 2
>> sigma = 1
>> b = 1
>> c = 1
>> d = 1
>> gamma = 1
>> x10 = linspace(-2,2,11)
>> y10 = linspace(-2,2,11)
>> [x,y]= meshgrid(x10,y10)
>> xp = x*(a-sigma*x-b*y)
>> yp = y*(-c+d*x-gamma*y)
>> quiver(x,y,xp,yp)
If someone could help me to plot the phase portrait in function of the initial conditions I will be very thankful
ordinary-differential-equations graphing-functions mathematical-modeling vector-fields octave
edited Dec 12 '18 at 21:01
Bernard
121k740116
asked Dec 12 '18 at 20:10
lujoselulujoselu
12
$endgroup$
add a comment |
$begingroup$
I need to make a phase portrait of a Lotka-Volterra competitive model with two species in GNU octave and I do not know how to do it. I manage to get to made the vector field. But I do not know how to made the different curves for the different initial values.
The equations that I am using are:
x' = x*(a-sigma*x-b*y)
y' = y*(-c+d*x-gamma*y)
The code that I managed to make for the vector field was:
>> a = 2
>> sigma = 1
>> b = 1
>> c = 1
>> d = 1
>> gamma = 1
>> x10 = linspace(-2,2,11)
>> y10 = linspace(-2,2,11)
>> [x,y]= meshgrid(x10,y10)
>> xp = x*(a-sigma*x-b*y)
>> yp = y*(-c+d*x-gamma*y)
>> quiver(x,y,xp,yp)
If someone could help me to plot the phase portrait in function of the initial conditions I will be very thankful
ordinary-differential-equations graphing-functions mathematical-modeling vector-fields octave
edited Dec 12 '18 at 21:01
Bernard
121k740116
asked Dec 12 '18 at 20:10
lujoselulujoselu
12
$endgroup$
add a comment |
$begingroup$
I need to make a phase portrait of a Lotka-Volterra competitive model with two species in GNU octave and I do not know how to do it. I manage to get to made the vector field. But I do not know how to made the different curves for the different initial values.
The equations that I am using are:
x' = x*(a-sigma*x-b*y)
y' = y*(-c+d*x-gamma*y)
The code that I managed to make for the vector field was:
>> a = 2
>> sigma = 1
>> b = 1
>> c = 1
>> d = 1
>> gamma = 1
>> x10 = linspace(-2,2,11)
>> y10 = linspace(-2,2,11)
>> [x,y]= meshgrid(x10,y10)
>> xp = x*(a-sigma*x-b*y)
>> yp = y*(-c+d*x-gamma*y)
>> quiver(x,y,xp,yp)
If someone could help me to plot the phase portrait in function of the initial conditions I will be very thankful
ordinary-differential-equations graphing-functions mathematical-modeling vector-fields octave
edited Dec 12 '18 at 21:01
Bernard
121k740116
asked Dec 12 '18 at 20:10
lujoselulujoselu
12
$endgroup$
I need to make a phase portrait of a Lotka-Volterra competitive model with two species in GNU octave and I do not know how to do it. I manage to get to made the vector field. But I do not know how to made the different curves for the different initial values.
The equations that I am using are:
x' = x*(a-sigma*x-b*y)
y' = y*(-c+d*x-gamma*y)
The code that I managed to make for the vector field was:
>> a = 2
>> sigma = 1
>> b = 1
>> c = 1
>> d = 1
>> gamma = 1
>> x10 = linspace(-2,2,11)
>> y10 = linspace(-2,2,11)
>> [x,y]= meshgrid(x10,y10)
>> xp = x*(a-sigma*x-b*y)
>> yp = y*(-c+d*x-gamma*y)
>> quiver(x,y,xp,yp)
If someone could help me to plot the phase portrait in function of the initial conditions I will be very thankful
ordinary-differential-equations graphing-functions mathematical-modeling vector-fields octave
ordinary-differential-equations graphing-functions mathematical-modeling vector-fields octave
edited Dec 12 '18 at 21:01
Bernard
121k740116
asked Dec 12 '18 at 20:10
lujoselulujoselu
12
edited Dec 12 '18 at 21:01
Bernard
121k740116
asked Dec 12 '18 at 20:10
lujoselulujoselu
12
edited Dec 12 '18 at 21:01
Bernard
121k740116
edited Dec 12 '18 at 21:01
Bernard
121k740116
edited Dec 12 '18 at 21:01
Bernard
121k740116
121k740116
asked Dec 12 '18 at 20:10
lujoselulujoselu
12
asked Dec 12 '18 at 20:10
lujoselulujoselu
12
asked Dec 12 '18 at 20:10
lujoselulujoselu
12
12
add a comment |
add a comment |
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