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An Impulsive Predator–Prey System with Modified Leslie–Gower Functional Response and Diffusion

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Abstract

In this paper, an impulsive diffusive predator–prey system with modified Leslie–Gower functional response and Beddington–DeAngelis functional response is investigated. Some conditions for the permanence and the existence of a unique globally stable periodic solution of the predator–prey system are obtained by using the comparison theorem and Lyapunov functions. Some numerical simulations are listed to show the main results.

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Acknowledgements

We thank the referees for their many thoughtful suggestions that lead to an improved exposition of this paper. We also thank Ph.D. Renji Han for his help in numerical simulation.

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, P. R. China

    Xiaoyue Li & Qi Wang

  2. School of Science, Zhejiang, University of Science and Technology, Hangzhou, 310023, P. R. China

    Renji Han

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  1. Xiaoyue Li
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  2. Qi Wang
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  3. Renji Han
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Correspondence to Qi Wang.

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Research supported by the University Natural Science Research Project of Anhui Province (KJ2018A0027) and Youth Foundation of Zhejiang University of Science and Technology (XJ2021003203) .

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Li, X., Wang, Q. & Han, R. An Impulsive Predator–Prey System with Modified Leslie–Gower Functional Response and Diffusion. Qual. Theory Dyn. Syst. 20, 78 (2021). https://doi.org/10.1007/s12346-021-00517-2

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