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Study of a predator–prey model with modified Leslie–Gower and Holling type III schemes

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Abstract

A mathematical model of predator–prey system is studied analytically as well as numerically. The objective of this paper is to study systematically the dynamical properties of a modified Leslie–Gower predator–prey model with Holling type III functional response. We discuss different types of system behaviours for various parameter values. The essential mathematical features of the model with regard to the boundedness, stability and persistence have been carried out. Some numerical simulations are carried out to support our theoretical analysis. All the results are expected to be of use in the study of the dynamic complexity of ecosystem.

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Acknowledgements

The authors express their sincere thanks to the reviewer for valuable suggestions towards the improvement of the paper. The second author is grateful to ICCR (Indian Council for Cultural Relations), New Delhi (File no. 6-44/2015-16/ISD-II) for awarding the scholarship.

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Authors and Affiliations

  1. Department of Mathematics, The University of Burdwan, Burdwan, West Bengal, 713104, India

    Absos Ali Shaikh & Harekrishna Das

  2. Department of Mathematics, Katwa College (B.Ed. Section), Burdwan, West Bengal, 713130, India

    Nijamuddin Ali

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  1. Absos Ali Shaikh
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  2. Harekrishna Das
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  3. Nijamuddin Ali
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Correspondence to Nijamuddin Ali.

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Shaikh, A.A., Das, H. & Ali, N. Study of a predator–prey model with modified Leslie–Gower and Holling type III schemes. Model. Earth Syst. Environ. 4, 527–533 (2018). https://doi.org/10.1007/s40808-018-0441-1

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  • DOI: https://doi.org/10.1007/s40808-018-0441-1

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