Competing Subcommunities of Mutualists and a Generalized Kamke Theorem
Hal L. Smith
Source abstract
A model of a biological community of species is considered. The community consists of two competing subcommunities each of which has the property that each pair of species of the subcommunity interact in a mutually beneficial or noninterfering manner. Sufficient conditions are given that the two subcommunities can coexist, the coexistence state being a stable equilibrium. The domains of attraction of stable equilibria are considered. The sharpest results are for the special case of Lotka–Volterra systems. Mathematically, the fundamental tool is a generalized Kamke theorem.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.