predator prey

We assume we have two species, herbivores with population x,
and predators with propulation y. We assume that x grows
exponentially in the absence of predators, and that y decays
exponentially in the absence of prey. Consider, say, the system

x' = x - xy/2, y' = -y + xy/2. (*)

We call this the predator-prey model or the Lotka-Volterra model.

The following Sage commands implement this.


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