Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837303 | Nonlinear Analysis: Real World Applications | 2013 | 12 Pages |
Abstract
In this paper, we consider an autonomous Lotka–Volterra competitive system with infinite delays and feedback controls. The extinction and global stability of equilibriums are discussed using the Lyapunov functional method. If the Lotka–Volterra competitive system is globally stable, then we show that the feedback controls only change the position of the unique positive equilibrium and retain the stable property. If the Lotka–Volterra competitive system is extinct, by choosing the suitable values of feedback control variables, we can make extinct species become globally stable, or still keep the property of extinction. Some examples are presented to verify our main results.
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Authors
Zhong Li, Maoan Han, Fengde Chen,