In this paper, a two-species Lotka-Volterra cooperative delay sys-
tem is considered, and the relationships between the delays and the permanence are obtained. Some sufficient conditions for the permanence under the
assumption of smallness of the delays are obtained. Two examples are given
to illustrate the theorems.
Citation: Guichen Lu, Zhengyi Lu. Permanence for two-species Lotka-Volterra cooperative systems with delays[J]. Mathematical Biosciences and Engineering, 2008, 5(3): 477-484. doi: 10.3934/mbe.2008.5.477
Abstract
In this paper, a two-species Lotka-Volterra cooperative delay sys-
tem is considered, and the relationships between the delays and the permanence are obtained. Some sufficient conditions for the permanence under the
assumption of smallness of the delays are obtained. Two examples are given
to illustrate the theorems.