The necessary and sufficient conditions for the global stability of type-$K$ Lotka-Volterra system
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- by Tu Caifeng and Jiang Jifa PDF
- Proc. Amer. Math. Soc. 127 (1999), 3181-3186 Request permission
Abstract:
This paper provides necessary and sufficient conditions for the type-$K$ Lotka-Volterra system to have a globally asymptotically stable positive steady state. The generalization of such a result is given.References
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Additional Information
- Tu Caifeng
- Affiliation: Department of Mathematics, The University of Science and Technology of China, Hefei, People’s Republic of China
- Email: jiangjf@math.ustc.edu.cn
- Jiang Jifa
- Affiliation: Department of Mathematics, The University of Science and Technology of China, Hefei, People’s Republic of China
- Received by editor(s): January 7, 1998
- Published electronically: July 8, 1999
- Additional Notes: This project was supported by the National Natural Science Foundation of China.
- Communicated by: Hal L. Smith
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3181-3186
- MSC (1991): Primary 34C11, 92A15
- DOI: https://doi.org/10.1090/S0002-9939-99-05077-7
- MathSciNet review: 1628420