# streamplot for differntial equation

how I can use StreamPlot or VectorPlot to show x[t] and 1-x[t] and show convergence point in my plot with a different colour like a blue point?

G1 = 21290/27
G2 = 23879130/2809
G3 = 13572050/2809
G4 = 1809025/288

U1[t_] := x[t] (G1) + (1 - x[t]) (G2)
U2[t_] := (1 - x[t]) (G3) + x[t] (G4)

x'[t] == x[t] (1 - x[t]) (U1[t] - U2[t])


I want to plot something like below pic:

• Use the option Epilog -> {Blue, Point[{...,...}]} in StreamPlot, where ... should be replaced by appropriate coordinates. Commented Jul 29, 2022 at 17:18
• Some examples: q/64407, a/80285, a/203247, a/223202, a/242409 Commented Jul 29, 2022 at 17:27
• Is the plot that you are showing above the one that you want to reproduce?
– demm
Commented Jul 29, 2022 at 21:07
• @demm, yes, I want to plot like that with x[t] and 1-x[t] that I mentioned in my question. Commented Jul 29, 2022 at 21:20
• @Michael E2, Thanks, my first question is how to plot x[t] and 1-x[t] like above pic. Commented Jul 29, 2022 at 21:25