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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Question

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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