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On the Global Stability of Cooperative Systems |
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| Authors: | Ji-Fa Jiang |
| Affiliation: | Department of Mathematics Anhui Normal University Wuhu, Anhui P. R. China |
| Abstract: | Suppose that F is a C1 cooperative vector field on X, whereX = Rn or Int  , or [[p, q]].We prove that the unique equilibrium of F is globally asymptoticallystable if and only if every forward semi-orbit has compact closurein X. |
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