Question

(1 point) In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows: = 0.09R(1 – 0.00025 R) - 0.001 RW = -0.02W + 0.00004 RW Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (RW), where is the number of rabbits and W the number of wolves. For example, if you found three equilibrium solutions, one with 100 rabbits and 10 wolves, one with 200 rabbits and 20 wolves, and one with 300 rabbits and 30 wolves you would enter (100, 10). (200,20). (300, 30). Do not round fractional answers to the nearest integer. Aneur

Answer 1

dp/dt = 0 -> => 0.09R R=o t -0.80025R) - 0,001 RW =O.... 0.09_125x10R - 0.00 W=0 . . .... =) -0.09 Wito . 00004R W OL => Wso 4 -0.021 0.nooy Be - Wzo 4 R = 500. When te soo, § 70 ) 0.9 – 295 X16*x500 – 0.001W=e :> W = 78.75 mm 79 then wzo, RO - P - 4000 . They the ear. Doints are i (4000, o) (500 , 70:- Poto)