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Impact of adult predator incited fear in a stage-structured prey–predator model

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Abstract

A two-species predator–prey model where the predators are separated into juvenile and mature predators has been considered in this article. Here, functional response in linear form is considered to know the impact of adult predator-induced fear in the stage-structured prey–predator model. Positivity and boundedness of the model system have been checked. Persistence conditions and existence condition(s) of each equilibria have been derived. The local and global stability analysis have been implemented both analytically and numerically along with Hopf bifurcation analysis with direction. From the analysis of the model system, it is observed that the mature predator-induced fear and rate of transition from juvenile (minor) predator to mature predator plays a crucial role in controlling the system dynamics.

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Acknowledgements

Mr. Barman is thankful to Ministry of Human Resource Development (MHRD), India, for financial support for this research study.

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Authors and Affiliations

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

    Narayan Mondal, Dipesh Barman & Shariful Alam

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  1. Narayan Mondal
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  2. Dipesh Barman
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  3. Shariful Alam
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Correspondence to Shariful Alam.

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Mondal, N., Barman, D. & Alam, S. Impact of adult predator incited fear in a stage-structured prey–predator model. Environ Dev Sustain 23, 9280–9307 (2021). https://doi.org/10.1007/s10668-020-01024-1

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