Concept explainers
In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let’s modify those equations as follows:
- (a) According to these equations, what happens to the rabbit population in the absence of wolves?
- (b) Find all the equilibrium solutions and explain their significance.
- (c) The figure shows the phase trajectory that starts at the point (1000, 40). Describe what eventually happens to the rabbit and wolf populations.
- (d) Sketch graphs of the rabbit and wolf populations as functions of time.
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Chapter 9 Solutions
Bundle: Single Variable Calculus: Early Transcendentals, Loose-leaf Version, 8th + Webassign Printed Access Card For Calculus, Multi-term Courses, Life Of Edition
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