Abstract
<p style='text-indent:20px;'>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 [<xref ref-type="bibr" rid="b15">15</xref>] introduced the concept of permanence as a stability notion for systems that models the self-organization of biological macromolecules. After, in 1987 W. Jansen [<xref ref-type="bibr" rid="b9">9</xref>], and J. Hofbauer and K. Sigmund [<xref ref-type="bibr" rid="b6">6</xref>] give sufficient conditions for permanence in the replicator equations. In this paper we extend these results for polymatrix replicators.
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