A population of birds and insects is modelled by the equations dx/dt = 0.4x (1 - .000005x) - .002xy dy/dt = -0.2y + .000008xy where x(t) is the number of insects at time t, and y(t) is the number of birds. (a) Find all of the equilibrium solutions

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A population of birds and insects is modelled by the equations

dx/dt = 0.4x (1 - .000005x) - .002xy

dy/dt = -0.2y + .000008xy

where x(t) is the number of insects at time t, and y(t) is the number of birds.

(a) Find all of the equilibrium solutions

 

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