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-predator prey
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-David Joyner
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-We assume we have two species, herbivores with population x, %0D%0Aand predators with propulation y. We assume that x grows %0D%0Aexponentially in the absence of predators, and that y decays %0D%0Aexponentially in the absence of prey. Consider, say, the system%0D%0A%0D%0Ax' = x - xy/2, y' = -y + xy/2.          (*)%0D%0A%0D%0AWe call this the predator-prey model or the Lotka-Volterra model.%0D%0A%0D%0AThe following Sage commands implement this.
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-http://sage.math.washington.edu/home/wdj/teaching/predator-prey.sage