Boundedness of solutions of predator-prey systems

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Abstract

Under minimal assumptions, we establish boundedness of every solution of a predator-prey system with constant rate harvesting or stocking of either or both species. This leads to an extension of the classical Kolmogorov theorem on asymptotic behavior of solutions of predator-prey systems.

Original languageEnglish (US)
Pages (from-to)268-273
Number of pages6
JournalTheoretical Population Biology
Volume15
Issue number2
DOIs
StatePublished - Apr 1979
Externally publishedYes

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ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics

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