Lotka-Volterra, Predator-Prey Model - SlideServe
Lotka-Volterra, Predator-Prey Model - SlideServe
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The Lotka-Volterra model of predator-prey dynamics suggests mutual control between predator and prey populations that results in the two populations oscillating through time (see Figure 15.2 ). Why does the predator population lag behind the prey population? | Numerade
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Consider the Lotka-Volterra predator-prey model defined by (d x)/(d t)=-0.1 x 0.02 x y (d y)/(d t)=0.2 y-0.025 x y, 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) . 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. | Numerade
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