Kuang, Y.; Smith, H. L. Global stability in diffusive delay Lotka-Volterra systems. (English) Zbl 0752.34041 Differ. Integral Equ. 4, No. 1, 117-128 (1991). The authors investigate the diffusive delay Lotka-Volterra system occurring in models of population dynamics. They have constructed a Lyapunov function to obtain a sufficient condition for global asymptotic stability of the system studied by them. They give a discrete diffusive delay treatment of the Lotka-Volterra system. In the course of their investigations they study a system of ordinary differential equations with constant coefficients in connection with the system under study. Finally, they give a brief discussion of the work of a number of researchers having interaction with their work as well as various aspects of the well-known Lotka-Volterra system. Reviewer: S.-N.Patnaik (Delhi) Cited in 24 Documents MSC: 34K30 Functional-differential equations in abstract spaces 35R10 Partial functional-differential equations 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 92D25 Population dynamics (general) Keywords:diffusive delay Lotka-Volterra system; population dynamics; Lyapunov function; global asymptotic stability; discrete diffusive delay PDFBibTeX XMLCite \textit{Y. Kuang} and \textit{H. L. Smith}, Differ. Integral Equ. 4, No. 1, 117--128 (1991; Zbl 0752.34041)