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Average conditions for Kolmogorov systems |
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| Authors: | Joanna Pe tela |
| Institution: | aInstitute of Mathematics and Computer Science, Wrocław University of Technology, ul. Janiszewskiego 14, Wroclaw, Poland |
| Abstract: | In this paper we consider nonautonomous competitive Kolmogorov systems, which is a generalization of classical Lotka–Volterra competition model. Applying Ahmad and Lazer’s definitions of lower and upper averages of a function, we give the average conditions for the persistence, permanence and global attractivity of the system. |
| Keywords: | Kolmogorov system Lotka– Volterra system Upper average Lower average Perron– Frobenius theorem Persistence Permanence Global attractivity |
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