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Global stability for separable nonlinear delay differential systems
Authors:Yoshiaki Muroya
Institution:Department of Mathematical Sciences, Waseda University, 3-4-1 Ohkubo Shinjuku-ku, Tokyo 169-8555, Japan
Abstract:In this paper, we consider separable nonlinear delay differential systems and we establish conditions for global asymptotic stability of the zero solution. Applying these, we offer improved 3/2-type criteria for global asymptotic stability of nonautonomous Lotka-Volterra systems with delays.
Keywords:Global stability  Separable nonlinear delay differential system  Nonautonomous  Lotka-Volterra competition system with delays  Instantaneous negative feedback
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