Consider the Lotka-Volterra predator-prey model defined bydxd'tdt= -0.1x + 0.02xy= 0.2у - 0.025xy,where the populations x(t) (predators) and y(t) (prey) are measured thousands. Suppose x(0) = 6 and y(0) = 6. Use a numerical solver to graph x(t) and y(t).x, yx, y10ким10M50100x, y10yourм1000t500Use the graphs to approximate the time t> 0 when the two populations are first equal.50x, y10-КИМи5001001000tt Use the graphs to approximate the period of each population.period of x 10Xperiod of y

We have to use the graphs to approximate the period of each population.

Answered: Consider the Lotka-Volterra…

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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