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A prey-predator fractional order model with fear effect and group defense

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Abstract

In this work, a fractional-order prey-predator system with fear effect of predator on prey population and group defense has been proposed. The existence and uniqueness of the system have been studied. Non-negativity and boundedness are also theoretically demonstrated. Analysis of local stability with examination of saddle-node and Hopf bifurcation at equilibrium points are performed by the help of numerical simulations along with analytical study. All the numerical simulations are performed using MATLAB and MAPLE.

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Acknowledgements

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

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103, India

    Meghadri Das & G. P. Samanta

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  1. Meghadri Das
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  2. G. P. Samanta
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Correspondence to G. P. Samanta.

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Das, M., Samanta, G.P. A prey-predator fractional order model with fear effect and group defense. Int. J. Dynam. Control 9, 334–349 (2021). https://doi.org/10.1007/s40435-020-00626-x

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  • DOI: https://doi.org/10.1007/s40435-020-00626-x

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