Consider the system x(8 - x) - 2 -2y+ 3zy I+1 (a) Draw the nullclines...

  

Transcribed Image Text:

Consider the system 네크로 x(8 - x) - 2 -2y+ 3zy I+1 (a) Draw the nullclines and direction arrows for x ≥ 0, y ≥ 0. (b) Show that there is only one critical point (x.. y.) in the interior of the first quad- rant, and show that it is a source. (c) Find a trapping region. (d) Explain why there is a limit cycle. (e) Sketch the general solution for x > 0, y ≥ 0. Consider the system 네크로 x(8 - x) - 2 -2y+ 3zy I+1 (a) Draw the nullclines and direction arrows for x ≥ 0, y ≥ 0. (b) Show that there is only one critical point (x.. y.) in the interior of the first quad- rant, and show that it is a source. (c) Find a trapping region. (d) Explain why there is a limit cycle. (e) Sketch the general solution for x > 0, y ≥ 0.