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

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Abstract

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. © 2009 Elsevier Ltd. All rights reserved.

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Nie, L., Teng, Z., Hu, L., & Peng, J. (2009). Permanence and stability in non-autonomous predator-prey Lotka-Volterra systems with feedback controls. Computers and Mathematics with Applications, 58(3), 436–448. https://doi.org/10.1016/j.camwa.2009.04.014

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