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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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