Permanence for two-species Lotka-Volterra cooperative systems with delays. (English) Zbl 1158.92043

Lu, Guichen; Lu, Zhengyi

Math. Biosci. Eng. 5, No. 3, 477-484 (2008).

Summary: A two-species Lotka-Volterra cooperative delay system 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.

MSC:

92D40	Ecology
34K60	Qualitative investigation and simulation of models involving functional-differential equations
34K20	Stability theory of functional-differential equations

Keywords:

Lotka-Volterra system; cooperative; discrete delay; permanence