logo_acta

Acta Mathematica Vietnamica

PERMANENCE AND POSITIVE BOUNDED SOLUTIONS OF KOLMOGOROV COMPETING SPECIES SYSTEM

TRINH TUAN ANH, TRAN VAN NHUNG, LE HONG LAN

Abstract

We study the Kolmogorov equation for $n$-species. Under certain conditions, it is shown that the equation is permanent and there exists a solution defined on whole $R$ whose components are bounded above and below by positive constants.