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Permanence of species in nonautonomous discrete Lotka–Volterra competitive system with delays and feedback controls

✍ Scribed by Xinyuan Liao; Zigen Ouyang; Shengfan Zhou

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
439 KB
Volume
211
Category
Article
ISSN
0377-0427

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✦ Synopsis

A nonautonomous N-species discrete Lotka-Volterra competitive system of difference equations with delays and feedback controls is considered. New sufficient conditions are obtained for the permanence of this discrete system. The results indicate that one can choose suitable controls to make the species coexistence in the long run. Moreover, we give some examples to illustrate the feasibility of our result which can be well suited for computational purposes.

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Permanence for a nonautonomous discrete single-species system with delays and feedback control
✍ Jiabo Xu; Zhidong Teng 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 263 KB

## a b s t r a c t A nonautonomous discrete single-species system with delays and feedback control is studied. New sufficient conditions for ensuring the permanence of the system are obtained. A very important fact is found in our results, that is, that the feedback control is harmless to the perm