Xiao, Yanni; Tang, Sanyi; Chen, Jufang Permanence and periodic solution in competitive system with feedback controls. (English) Zbl 0896.92032 Math. Comput. Modelling 27, No. 6, 33-37 (1998). Summary: Sufficient conditions are derived for the permanence and existence of global asymptotical stability in a two species competitive system with feedback controls. It is shown that the controls can save extinction of the species. Cited in 40 Documents MSC: 92D40 Ecology 93B52 Feedback control 92D25 Population dynamics (general) 34C25 Periodic solutions to ordinary differential equations 93D15 Stabilization of systems by feedback Keywords:global asymptotical stability; two species competitive system PDFBibTeX XMLCite \textit{Y. Xiao} et al., Math. Comput. Modelling 27, No. 6, 33--37 (1998; Zbl 0896.92032) Full Text: DOI References: [1] Ahmad, S., Convergence and ultimate bounds of the nonautonomous Volterra-Lotka competition equation, J. Math. Anal. Appl., 127, 377-387 (1987) · Zbl 0648.34037 [2] Ahamd, S., On the nonautonomous Volterra-Lotka competition equations, J. Math. Anal. Appl., 117, 199-204 (1993) · Zbl 0848.34033 [3] Zeng, G. Z.; Chen, L. S.; Chen, J. F., Persistence and periodic orbits for two-species nonautonomous diffusion Lotka-Volterra models, Mathl. Comput. Modelling, 20, 2, 69-80 (1994) · Zbl 0827.34040 [4] Alvarez, C.; Lazer, A. C., An application of topological degree to the periodic competing species problem, J. Austral. Math. Soc. Ser. B., 28, 202-219 (1986) · Zbl 0625.92018 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.