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

Narayan Mondal (), Dipesh Barman () and Shariful Alam ()
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Narayan Mondal: Indian Institute of Engineering Science and Technology, Shibpur
Dipesh Barman: Indian Institute of Engineering Science and Technology, Shibpur
Shariful Alam: Indian Institute of Engineering Science and Technology, Shibpur

Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, 2021, vol. 23, issue 6, No 60, 9280-9307

Abstract: 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.

Keywords: Stage structure; Fear effect; Bifurcation; Stable limit cycle; Global stability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10668-020-01024-1

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