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Permanence and Stability of Solutions for Almost Periodic Prey–Predator Model with Impulsive Effects

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Abstract

This paper is concerned with a class of impulsive prey–predator model with Beddington–DeAngelis functional response. By fixed point theorem and constructing a Lyapunov function, some sufficient conditions are established to ensure the permanence and uniformly asymptotic stability of positive almost periodic solutions for the concerned system.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, People’s Republic of China

    Hui Zhou

  2. School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601, People’s Republic of China

    Hui Zhou, Wen Wang & Liu Yang

Authors
  1. Hui Zhou
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  2. Wen Wang
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  3. Liu Yang
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Corresponding author

Correspondence to Hui Zhou.

Additional information

Research supported by Natural Science Foundation of Anhui (1608085MA12, 1708085MA16) and University of Anhui Province Project (KJ2015A196, gxyq2017048).

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Zhou, H., Wang, W. & Yang, L. Permanence and Stability of Solutions for Almost Periodic Prey–Predator Model with Impulsive Effects. Qual. Theory Dyn. Syst. 17, 463–474 (2018). https://doi.org/10.1007/s12346-017-0247-y

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  • DOI: https://doi.org/10.1007/s12346-017-0247-y

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