MATH 119 MATHEMATICAL MODELLING EXAM II FALL COMPLETED (Complete And Verified Study material) (14pages) LEARNEXAMS

1. (20 points) Consider the predator-prey system

dr

dt 1)

20

(a) Find the nullclines of the system.

X-mullclines X-120 or 5-x- X

x=1 or y=x (5-x) 6

y-nullclines dy = 0 ⇒ y=0 or 1-= dt =0

y=0 y = x-1

(b) Find all equilibrium points of this system.

ул

1x=1

y=x-1

(0,0)

(-3,-4)

(1,0)

(2,1)

(2,1)

y=0

(0,0)

(5,0)

(5,0)

(1,0)