Abstract
A basic food web of 4 species is considered, of which there is a bottom prey X, two predators Y, Z on X, and a top predatorW only on Y. The study concerns with how one type of chaotic coexistence arises. It is shown that under the situation that without the top-predator W, competitor Z goes to extinction, without Z the XYW locks in a periodic cycle, yet with all species, the noncompetitiveZ can derive the dynamics from periodic orbits to chaos. The dynamics can be captured analytically by 1-dimensional unimodal and multimodal maps and symbolic shift maps.
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