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 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) = (_______)

Expert Solution