The system of differential equations dx/dt = 0.4x − 0.002x2 − 0.001xy dy/dt = 0.6y − 0.001y2 − 0.007xy is a model for the populations of two species. (a) Does the model describe cooperation, or competition, or a predator-prey relationship? competition cooperation predator-prey relationship (b) Find the equilibrium solutions. (Enter solutions from smallest to largest value of x. If solutions have the same value of x, enter them from smallest to largest y.) (x,y) = (_______) (x,y) = (_______) (x,y) = (_______) (x,y) = (_______)
The system of differential equations dx/dt = 0.4x − 0.002x2 − 0.001xy dy/dt = 0.6y − 0.001y2 − 0.007xy is a model for the populations of two species. (a) Does the model describe cooperation, or competition, or a predator-prey relationship? competition cooperation predator-prey relationship (b) Find the equilibrium solutions. (Enter solutions from smallest to largest value of x. If solutions have the same value of x, enter them from smallest to largest y.) (x,y) = (_______) (x,y) = (_______) (x,y) = (_______) (x,y) = (_______)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The system of
dx/dt = 0.4x − 0.002x2 − 0.001xy
dy/dt = 0.6y − 0.001y2 − 0.007xy
is a model for the populations of two species.
(a) Does the model describe cooperation, or competition, or a predator-prey relationship?
competition
cooperation
predator-prey
relationship
(b) Find the equilibrium solutions. (Enter solutions from smallest to largest value of x. If solutions have the same value of x, enter them from smallest to largest y.)
(x,y) = (_______)
(x,y) = (_______)
(x,y) = (_______)
(x,y) = (_______)
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