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Permanence and positive bounded solutions of Kolmogorov predator-prey system

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Anh T. T., Thong P. M.
Universitatis Iagellonicae Acta Mathematica
|
2012
|
vol. 50
25-46
EN
Our main purpose is to present some criteria for the permanence and existence of a positive bounded solution of Kolmogorov predator-prey system. Under certain conditions, it is shown that the system is permanent and there exists a solution which is defined on the whole $\bbb{R}$ and whose components are bounded from above and from below by positive constants.
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