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Consider the Lotka-Volterra predator-prey model defined by dx = -0.1x + 0.02xy dt dy = 0.2y – 0.025xy, dt where the populations x(t) (predators) and y(t) (prey) are measured in thousands. Suppose x(0) = 6 and y(0) = 6. Use a numerical solver to graph x(t) and y(t). www х, у х, у 10- 10 50 100 50 100 х, у х, у 10 10 500 1000 500 1000 Use the graphs to approximate the time t > 0 when the two populations are first equal. Use the graphs to approximate the period of each population. period of x period of y

Consider the Lotka-Volterra predator-prey model defined by dx = -0.1x + 0.02xy dt dy = 0.2y – 0.025xy, dt where the populations x(t) (predators) and y(t) (prey) are measured in thousands. Suppose x(0) = 6 and y(0) = 6. Use a numerical solver to graph x(t) and y(t). www х, у х, у 10- 10 50 100 50 100 х, у х, у 10 10 500 1000 500 1000 Use the graphs to approximate the time t > 0 when the two populations are first equal. Use the graphs to approximate the period of each population. period of x period of y

Advanced Engineering Mathematics
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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Consider the Lotka-Volterra predator-prey model defined by dx = -0.1x + 0.02xy dt dy %3D 0.2y — 0.025ху, dt where the populations x(t) (predators) and y(t) (prey) are measured in thousands. Suppose x(0) = 6 and y(0) = 6. Use a numerical solver to graph x(t) and y(t). х, у х, у 10 10- t 50 100 50 100 х, у х, у you 10 10 t t 500 1000 500 1000 Use the graphs to approximate the timet > 0 when the two populations are first equal. Use the graphs to approximate the period of each population. period of x period of y
Transcribed Image Text:Consider the Lotka-Volterra predator-prey model defined by dx = -0.1x + 0.02xy dt dy %3D 0.2y — 0.025ху, dt where the populations x(t) (predators) and y(t) (prey) are measured in thousands. Suppose x(0) = 6 and y(0) = 6. Use a numerical solver to graph x(t) and y(t). х, у х, у 10 10- t 50 100 50 100 х, у х, у you 10 10 t t 500 1000 500 1000 Use the graphs to approximate the timet > 0 when the two populations are first equal. Use the graphs to approximate the period of each population. period of x period of y
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