Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

TY - JOUR

T1 - Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

AU - Xu, Rui

AU - Chaplain, M. A. J.

AU - Chen, Lansun

N1 - dc.publisher: Elsevier

PY - 2002

Y1 - 2002

N2 - By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small.

AB - By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small.

KW - Lyapunov functional

KW - Global asymptotic stability

KW - Infinite delay

KW - Nonautonomous Lotka-Volterra competitive system

U2 - 10.1016/S0096-3003(01)00097-2

DO - 10.1016/S0096-3003(01)00097-2

M3 - Article

SN - 0096-3003

VL - 130

SP - 295

EP - 309

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -