Persistence in dynamical systems

Teng, Zhi Dong; Duan, Kui Chen

doi:10.1090/qam/1074961

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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