August  2004, 4(3): 607-614. doi: 10.3934/dcdsb.2004.4.607

The impact of state feedback control on a predator-prey model with functional response

1. 

Department of Mathematics, Northeastern University, 240,110004, Shenyang, China

2. 

Shenyang Architectural and Civil Engineering Institute, Shenyang, China

Received  November 2002 Revised  August 2003 Published  May 2004

In this paper, we study the impact of feedback control on a predator-prey model with functional response. It is proven that the position and number of positive equilibria and limit cycles, parameter domain of stability and bifurcations of such model can be changed by some feedback control which has the form $u=kx+h.$ The main results of this paper show that a constant control has a stronger impact on the properties of this model than a proportional state feedback.
Citation: Haiying Jing, Zhaoyu Yang. The impact of state feedback control on a predator-prey model with functional response. Discrete and Continuous Dynamical Systems - B, 2004, 4 (3) : 607-614. doi: 10.3934/dcdsb.2004.4.607
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