Permanence in polymatrix replicators

Abstract

Generally a biological system is said to be permanent if under small perturbations none of the species goes to extinction. In 1979 P.Schuster, K.Sigmund, and R.Wolff introduced the concept of permanence as a stability notion for systems that models the self-organization of biological macromolecules. After, in 1987 W. Jansen, and J.Hofbauer, and K.Sigmund give sufficient conditions for permanence in the usual replicators. In this paper we extend these results for polymatrix replicators.info:eu-repo/semantics/publishedVersio