Ahmad, Shair; Lazer, Alan C. Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system. (English) Zbl 0955.34041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1-8, 37-49 (2000). Conditions for global asymptotic stability of Lotka-Volterra competition systems with time-varying periodic or almost-periodic parameters are given in terms of upper and lower parameter averages. Reviewer: T.C.Gard (Athens/Georgia) Cited in 6 ReviewsCited in 77 Documents MSC: 34D23 Global stability of solutions to ordinary differential equations 92D25 Population dynamics (general) Keywords:competing species; global asymptotic stability; nonautonomous systems; average conditions PDF BibTeX XML Cite \textit{S. Ahmad} and \textit{A. C. Lazer}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1--8, 37--49 (2000; Zbl 0955.34041) Full Text: DOI References: [1] Ahmad, S.; Lazer, A. C., Necessary and sufficient average growth in a Lotka—Volterra system, Nonlinear Anal., 34, 191-228 (1998) · Zbl 0934.34037 [2] Bellman, R., Matrix Analysis (1970), McGraw-Hill: McGraw-Hill New York · Zbl 0216.06101 [3] Gopalsamy, K., Global asymptotic stability in a periodic Lotka—Volterra System, J. Austral. Math. Soc. Ser. B, 27, 66-72 (1986) · Zbl 0588.92019 [4] Gopalsamy, K., Global asymptotic stability in an almost-periodic Lotka—Volterra system, J. Austral. Math. Soc. Ser B, 27, 346-360 (1986) · Zbl 0591.92022 [5] Redheffer, R., Nonautonomous Lotka—Volterra system I, J. Differential Equations, 127, 519-540 (1996) · Zbl 0856.34056 [6] Tineo, A.; Alvarez, C., A different consideration about the globally assymptotically stable solution of the periodic \(n\)-competing species problem, J. Math. Anal. Appl., 159, 44-60 (1991) · Zbl 0729.92025 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.