The Kaplan–Yorke conjecture is a hypothesis in mathematical biology, specifically in the study of dynamical systems and the stability of ecosystems. It suggests a relationship between the number of species in an ecological community and the number of interacting species that can coexist in a stable equilibrium. The conjecture posits that in a multispecies system, the number of species that can coexist is determined by the properties of the interaction matrix that describes how species interact with one another.
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