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Extra info for Advanced Ecological Theory: Principles and Applications
Note that in spite of the close similarity between these two deterministic representations, there is a wealth of difference in their interpretation. 33 prey do not become predators but merely act as food for them, so (x,y) Æ (x - 1,y) and (x,y) Æ (x,y + 1) are separate events. In principle, an infinite number of processes can give rise to the same deterministic form, so the ability of deterministic representations to provide precise descriptions of dynamic behaviour is clearly questionable. However, in spite of their naivety they do provide useful insight into qualitative features of epidemic development (see Bailey 1975).
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