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Zbl 1194.93069
Chen, Fengde; Yang, Jinghui; Chen, Lijuan; Xie, Xiangdong
On a mutualism model with feedback controls. (English)
[J] Appl. Math. Comput. 214, No. 2, 581-587 (2009). ISSN 0096-3003

Summary: We propose and study a mutualism model with feedback controls. By applying a new differential inequality, we show that the conditions which ensure the permanence of the system are the same as that of the model without feedback controls, which means that the feedback control variables have no influence on the persistent property of the system. Our results not only improve but also complement some existing ones.

MSC 2000:: *93B52 Feedback control
93C15 Control systems governed by ODE
34H05 ODE in connection with control problems

Keywords: mutualism model; feedback controls; permanence; differential inequality; delay

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