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| THE STABILITY OF A REACTION-DIFFUSION LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH NONLOCAL DELAYS AND FEEDBACK CONTROLS |
| Zhong Li,Zhenliang Zhu |
| (College of Math. and Computer Science, Fuzhou University, Fuzhou 350108, Fujian, PR China) |
| DOI： |
| Abstract: |
| In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extinction of the system. Also, we show the influence of feedback controls on dynamic behaviors of the system. Some examples are presented to verify our main results. |
| Key words: extinction; feedback control; reaction-diffusion; Lotka-Volterra; nonlocal delays |