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Math➕

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PRESENTATION OUTLINE

PREY-PREDATOR

LOTKA-VOLTERRA EQUATION
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A pair of first-order, non-linear, differential equations, they interact as a predator and the other as a prey.

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dx/dt=ax-ßxy
dy/dt=Sxy-ry
X=prey=mouse
Y=predator=snake

dy/dt and dx/dt
Represent the growth rates of the two populations over time
T=time

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a,ß,y,S
Describe the interaction of species

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This model was

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Why should we care

Because it describes how biological systems interact with each other