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The necessary and sufficient conditions for the global stability of type- Lotka-Volterra system
Authors:Tu Caifeng   Jiang Jifa
Affiliation:Department of Mathematics, The University of Science and Technology of China, Hefei, People's Republic of China ; Department of Mathematics, The University of Science and Technology of China, Hefei, People's Republic of China
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.

Keywords:Lotka--Volterra system   steady state   global stability
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