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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Populations of two species are modeled by the equations (equations in picture). Answer the following.
-
Describe how the species interact with one another. For example, do they compete for the same resources, do they cooperate for mutual benefit, or do they have a predator-prey relationship?
-
Find the equilibrium solutions and explain their significance.
-

Transcribed Image Text:Populations of two species are modeled by the equations
dy
= 0.2x – 0.004ry .
dt
dr
0.12y – 0.024xy
dt
Answer the following:
(a) Describe how the species interact with one another. For example, do they compete for the same
resources, do they cooperate for mutual benefit, or do they have a predator-prey relationship?
(b) Find the equilibrium solutions and explain their significance.
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