using quiver to create a vector field for an equation with only 1 variable.

I have an equation which i am trying to use quiver to create a vector field for. the equation can be defined as this. yprime = alpha*y - beta*y.^2 - H where H = ((y.^3)*p)./((y.^3)+q) and alpha and beta are constants. so are p and q. everywhere I look though quiver is used to define problems with two equations. is there a way to use it for this equation?

Answer 1

[KSSV]

alpha = rand ;
beta = rand ;
p = rand ;
q = rand ;
y = linspace(0,1) ;
yprime = alpha*y - beta*y.^2-(((y.^3)*p)./((y.^3)+q)) ;
dyprime = gradient(yprime) ;

plot(y,yprime)
hold on
quiver(y,yprime,yprime,dyprime)

[Elijah Jones]

alpha = .75 ;
beta = .1 ;
p = 1.5 ;
q = 1.25 ;
y = linspace(0,1) ;
yprime = alpha*y - beta*y.^2-(((y.^3)*p)./((y.^3)+q)) ;
dyprime = gradient(yprime) ;
plot(y,yprime)
hold on
quiver(y,yprime,yprime,dyprime)

this is the stuff i have to put into this equation. it doesn't look correct. if this makes any difference yprime is also dy/dt. differential equation just doesn't have any t's in it. The direction field should though. I'm looking for the slop field that is y(t) using yprime above.

[Elijah Jones]

the direction field should be on of a logistic function