Abstract
By discussing the properties of a linear cooperative system, the necessary and sufficient conditions for the existence of positive solutions of an elliptic cooperative system in terms of the principal eigenvalue of the associated linear system are established, and some local stability results for the positive solutions are also obtained.
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Project supported by the National Natural Science Foundation of China (10071048) and Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University
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Hei, L.J., Wu, J.H. Existence and Stability of Positive Solutions for an Elliptic Cooperative System. Acta Math Sinica 21, 1113–1120 (2005). https://doi.org/10.1007/s10114-004-0467-3
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DOI: https://doi.org/10.1007/s10114-004-0467-3