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Study of LG-Holling type III predator–prey model with disease in predator

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Abstract

In this article, a Leslie–Gower Holling type III predator–prey model with disease in predator has been developed from both biological and mathematical point of view. The total population is divided into three classes, namely, prey, susceptible predator and infected predator. The local stability, global stability together with sufficient conditions for persistence of the ecosystem near biologically feasible equilibria have been thoroughly investigated. Boundedness and existence of the system are established. All the important analytical findings have been numerically verified by using program software MATLAB and Maple.

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Acknowledgements

The authors convey their sincere thanks and gratitude to all the reviewers for their suggestions towards the improvement of the paper. The second author Mr. Harekrishna Das gratefully acknowledges to ICCR (Indian Council for Cultural Relations), New Delhi [File No. 6-44/2015-16/ISD-II] for awarding 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 Absos Ali Shaikh.

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Shaikh, A.A., Das, H. & Ali, N. Study of LG-Holling type III predator–prey model with disease in predator. J. Appl. Math. Comput. 58, 235–255 (2018). https://doi.org/10.1007/s12190-017-1142-z

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  • DOI: https://doi.org/10.1007/s12190-017-1142-z

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