A Necessary and Sufficient Condition for Permanence of a Lotka–Volterra Discrete System with Delays

By Yasuhisa Saito, Wanbiao Ma, T. Hara. 2001

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Uniform persistence and periodic solutions for a discrete predator–prey system with delays☆ (2006, background): “Though much has been done for persist models governed by differential equations in the literature (see [5,9,13,14,16,17] a references therein), there are only several papers (see [3,7,8,11,12,15,18]) on the tence of discrete models.”
Permanence of species in nonautonomous discrete Lotka-Volterra competitive system with delays and feedback controls (2008, background): “But, it should be mentioned here that during the last decade, many scholars had also done works on the ecosystem of population models governed by difference equations, see [7,10,12,15,18,21,24,25] and the references cited therein.”