The necessary and sufficient conditions for the global stability of type-𝐾 Lotka-Volterra system

Caifeng, Tu; Jifa, Jiang

doi:10.1090/S0002-9939-99-05077-7

The necessary and sufficient conditions for the global stability of type-$K$ Lotka-Volterra system
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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.

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