Liu, Lili; Liu, Zhijun Asymptotic behaviors of a delayed nonautonomous predator-prey system governed by difference equations. (English) Zbl 1233.92077 Discrete Dyn. Nat. Soc. 2011, Article ID 271928, 15 p. (2011). Summary: Based on a predator-prey differential system with continuously distributed delays, we derive a corresponding difference version by using the method of a discretization technique. A good understanding of permanence of system and global attractivity of positive solutions of system is gained. An example and its numerical simulations are presented to substantiate our theoretical results. Cited in 1 Document MSC: 92D40 Ecology 39A30 Stability theory for difference equations 39A12 Discrete version of topics in analysis 37N25 Dynamical systems in biology 65C60 Computational problems in statistics (MSC2010) PDFBibTeX XMLCite \textit{L. Liu} and \textit{Z. Liu}, Discrete Dyn. Nat. Soc. 2011, Article ID 271928, 15 p. (2011; Zbl 1233.92077) Full Text: DOI References: [1] DOI: 10.1016/0025-5564(76)90046-8 · Zbl 0335.92018 · doi:10.1016/0025-5564(76)90046-8 [2] (1971) [3] DOI: 10.1016/0022-247X(64)90080-0 · Zbl 0129.07703 · doi:10.1016/0022-247X(64)90080-0 [4] DOI: 10.1137/0136023 · Zbl 0418.92015 · doi:10.1137/0136023 [5] DOI: 10.1016/j.nonrwa.2010.03.013 · Zbl 1208.34124 · doi:10.1016/j.nonrwa.2010.03.013 [6] DOI: 10.1016/j.nonrwa.2010.12.016 · Zbl 1221.35053 · doi:10.1016/j.nonrwa.2010.12.016 [7] DOI: 10.1016/j.amc.2006.07.123 · Zbl 1122.34048 · doi:10.1016/j.amc.2006.07.123 [8] DOI: 10.1016/j.nonrwa.2010.05.001 · Zbl 1206.34104 · doi:10.1016/j.nonrwa.2010.05.001 [9] DOI: 10.1016/j.amc.2009.10.032 · Zbl 1194.34152 · doi:10.1016/j.amc.2009.10.032 [10] DOI: 10.1016/j.nonrwa.2007.12.006 · Zbl 1167.34382 · doi:10.1016/j.nonrwa.2007.12.006 [11] DOI: 10.1016/j.nonrwa.2011.03.002 · Zbl 1228.34128 · doi:10.1016/j.nonrwa.2011.03.002 [12] DOI: 10.1016/j.camwa.2010.06.029 · Zbl 1201.34111 · doi:10.1016/j.camwa.2010.06.029 [13] DOI: 10.1016/j.apm.2009.11.012 · Zbl 1195.39004 · doi:10.1016/j.apm.2009.11.012 [14] pp xvi+971– (2000) [15] pp x+254– (1980) [16] DOI: 10.1007/s10910-010-9698-y · Zbl 1220.92052 · doi:10.1007/s10910-010-9698-y [17] DOI: 10.1155/2009/830537 · Zbl 1178.39027 · doi:10.1155/2009/830537 [18] 19 pp xiv+767– (1989) [19] DOI: 10.1016/j.jmaa.2005.04.036 · Zbl 1107.39017 · doi:10.1016/j.jmaa.2005.04.036 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.