Permanence and Globally Asymptotic Stability of Cooperative System Incorporating Harvesting

Fengying Wei, Cuiying Li

College of Mathematics and Computer Science, Fuzhou University, Fuzhou.

DOI: 10.4236/apm.2013.37082                

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.

Keywords

Cooperative System; Equilibrium; Stability; Asymptotically Periodic Solution

Conflicts of Interest

The authors declare no conflicts of interest.

References

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