Dynamical behaviors of a constant prey refuge ratio-dependent prey-predator model with Allee and fear effects

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dc.contributor.authorPal S.
dc.contributor.authorPanday P.
dc.contributor.authorPal N.
dc.contributor.authorMisra A.K.
dc.contributor.authorChattopadhyay J.
dc.date.accessioned2025-01-13T07:09:31Z
dc.date.available2025-01-13T07:09:31Z
dc.date.issued2024
dc.description.abstractIn this paper, we consider a nonlinear ratio-dependent prey-predator model with constant prey refuge in the prey population. Both Allee and fear phenomena are incorporated explicitly in the growth rate of the prey population. The qualitative behaviors of the proposed model are investigated around the equilibrium points in detail. Hopf bifurcation including its direction and stability for the model is also studied. We observe that fear of predation risk can have both stabilizing and destabilizing effects and induces bubbling phenomenon in the system. It is also observed that for a fixed strength of fear, an increase in the Allee parameter makes the system unstable, whereas an increase in prey refuge drives the system toward stability. However, higher values of both the Allee and prey refuge parameters have negative impacts and the populations go to extinction. Further, we explore the variation of densities of the populations in different bi-parameter spaces, where the coexistence equilibrium point remains stable. Numerical simulations are carried out to explore the dynamical behaviors of the system with the help of MATLAB software. � 2024 World Scientific Publishing Company.
dc.identifier.doi10.1142/S1793524523500109
dc.identifier.issn17935245
dc.identifier.urihttps://dl.bhu.ac.in/ir/handle/123456789/3746
dc.language.isoen
dc.publisherWorld Scientific
dc.subjectAllee effect
dc.subjectbifurcation
dc.subjectfear effect
dc.subjectpopulation density
dc.subjectPredator-prey system
dc.subjectprey refuge
dc.titleDynamical behaviors of a constant prey refuge ratio-dependent prey-predator model with Allee and fear effects
dc.typeArticle
journal.titleInternational Journal of Biomathematics
journalvolume.identifier.volume17

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