Acta Mathematica Vietnamica
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PERMANENCE AND POSITIVE BOUNDED SOLUTIONS OF KOLMOGOROV COMPETING SPECIES SYSTEM
TRINH TUAN ANH, TRAN VAN NHUNG, LE HONG LANpp. 251-261
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.