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Prey–predator nonlinear harvesting model with functional response incorporating prey refuge

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Abstract

In the present paper, we propose a prey–predator model by considering some among of prey are refugees and predator interact with non refugees prey by class of functional responses. Here we also consider nonlinear harvesting for only non refugees prey. We discuss the equilibria of the model and their stability for hiding prey either in constant or proportional to the densities of prey population. Also we investigate various possibilities of bionomic equilibrium. Finally we present numerical example with graphical presentation of the various effect of the prey predator system parameter.

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Acknowledgments

We are grateful to the anonymous referees and the Editor-in-Chief Jian-Qiao Sun for their careful reading, valuable comments and helpful suggestions which have helped us to improve the presentation of this work significantly.

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Authors and Affiliations

  1. Department of Mathematics, Abada New Set Up Upper Primary School, Howrah, West Bengal, India

    P. Santra

  2. Department of Mathematics, National Institute of Technology Puducherry, Karaikal, 609605, India

    G. S. Mahapatra

  3. Chandrahati Dilip Kumar High School(H.S.), Chandrahati, 712504, West Bengal, India

    D. Pal

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  1. P. Santra
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  2. G. S. Mahapatra
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  3. D. Pal
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Correspondence to D. Pal.

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Santra, P., Mahapatra, G.S. & Pal, D. Prey–predator nonlinear harvesting model with functional response incorporating prey refuge. Int. J. Dynam. Control 4, 293–302 (2016). https://doi.org/10.1007/s40435-015-0198-6

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  • DOI: https://doi.org/10.1007/s40435-015-0198-6

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