Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Persistence in dynamical systems


Authors: Zhi Dong Teng and Kui Chen Duan
Journal: Quart. Appl. Math. 48 (1990), 463-472
MSC: Primary 58F12; Secondary 34C35, 92D40
DOI: https://doi.org/10.1090/qam/1074961
MathSciNet review: MR1074961
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Abstract: In this paper, we study persistence and uniform persistence in dynamical systems. Necessary and sufficient conditions are given. These results are an extension of G. Butler, H. Freedman, and P. Waltman's discussions. Applying these results to two- and three-dimensional ecosystems, we obtain necessary and sufficient conditions about persistence and uniform persistence of these systems.


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DOI: https://doi.org/10.1090/qam/1074961
Article copyright: © Copyright 1990 American Mathematical Society


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