The permanence in a single species nonautonomous system with delays and feedback control.

Feng, Xiaomei; Zhang, Fengqin

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Displaying similar documents to “The permanence in a single species nonautonomous system with delays and feedback control.”

Almost sufficient and necessary conditions for permanence and extinction of nonautonomous discrete logistic systems with time-varying delays and feedback control

Jiabo Xu, Zhidong Teng, Shujing Gao (2011)

Applications of Mathematics

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A class of nonautonomous discrete logistic single-species systems with time-varying pure-delays and feedback control is studied. By introducing a new research method, almost sufficient and necessary conditions for the permanence and extinction of species are obtained. Particularly, when the system degenerates into a periodic system, sufficient and necessary conditions on the permanence and extinction of species are obtained. Moreover, a very important fact is found in our results, that...

Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls

Lin Lu, Yi Lian, Chaoling Li (2017)

Open Mathematics

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This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence of the model. Under a suitable condition, we prove that the system has global stable periodic solution. The paper ends with brief conclusions.