A Long Food Chain

It is expected that more complicated dynamic behavior would be possible in a longer food chain. Indeed, we will illustrate (numerically) that adding 

If one adds another predator to the model of Section 3, then the system is governed by the equations (in scaled form) 

On the omega limit set, then, one may eliminate the S variable by using S = 1 —x—y—z to obtain the system 

The final conclusion of Section 7 was that two predators could survive on a common prey. It is significant that this can happen only as an oscillatory phenomenon. This is easy to understand intuitively. If the prey 

The platform from which the (four-dimensional) oscillations were launched was the (three-dimensional) food chain, which was already oscillatory. Experiments confirming the behavior of the food chain exist in 

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