TITLE:
Permanence and Globally Asymptotic Stability of Cooperative System Incorporating Harvesting
AUTHORS:
Fengying Wei, Cuiying Li
KEYWORDS:
Cooperative System; Equilibrium; Stability; Asymptotically Periodic Solution
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.7,
October
17,
2013
ABSTRACT:
The stability of a kind of cooperative models incorporating harvesting is considered in this paper. By analyzing the characteristic roots of the models and constructing suitable Lyapunov functions, we prove that nonnegative equilibrium points of the models are globally asymptotically stable. Further, the corresponding nonautonomous cooperative models have a unique asymptotically periodic solution, which is uniformly asymptotically stable. An example is given to illustrate the effectiveness of our results.