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Permanence and stability in non-autonomous predator–prey Lotka–Volterra systems with feedback controls

✍ Scribed by Linfei Nie; Zhidong Teng; Lin Hu; Jigen Peng

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
822 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

The main purpose of this article is considering whether or not the feedback controls have an influence on a non-autonomous predator-prey Lotka-Volterra type system. General criteria on permanence are established, which is described by an integral form and independent of some feedback controls. By constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the global stability of any positive solution to the model.

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✍ Xinyuan Liao; Zigen Ouyang; Shengfan Zhou 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 439 KB

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 spec