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Dynamical behaviour of a predator-prey system encapsulating the fear affecting death rate of prey and intra-specific competition: Revisited in a fluctuating environment

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dc.contributor.author Gokce, Aytul
dc.date.accessioned 2024-03-15T11:22:15Z
dc.date.available 2024-03-15T11:22:15Z
dc.date.issued 2023
dc.identifier.citation Gökçe, A. (2023). Dynamical behaviour of a predator-prey system encapsulating the fear affecting death rate of prey and intra-specific competition: Revisited in a fluctuating environment. J. Comput. Appl. Math., 421. https://doi.org/10.1016/j.cam.2022.114849 en_US
dc.identifier.issn 0377-0427
dc.identifier.issn 1879-1778
dc.identifier.uri http://dx.doi.org/10.1016/j.cam.2022.114849
dc.identifier.uri https://www.webofscience.com/wos/woscc/full-record/WOS:000875074300001
dc.identifier.uri http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4509
dc.description WoS Categories: Mathematics, Applied en_US
dc.description Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED) en_US
dc.description Research Areas: Mathematics en_US
dc.description.abstract This paper revisits a population model incorporating a fear factor and intra-specific competition. An extension of the model from a deterministic framework to a stochastic one is also taken into account as an additional degree of realism. The prey-predator system in the absence of environmental noise is investigated in terms of equilibria, stability and positivity of the model. For this purpose, single parameter numerical continuation is performed to analyse the impact of fear factor in the reproduction and death rate of prey species, and the role of intra-specific competition in predator population. Then, the environmental noise is incorporated in the death rates of both species, leading to stochastic differential equations. It is demonstrated that the model has a global positive solution in the presence of white Gaussian noise and the extinction conditions of populations are analytically presented. Lastly, a deterministic approach to explore the statistical properties of the stochastic model is performed. The theoretical results of this paper are complemented with detailed numerical simulations.(c) 2022 Elsevier B.V. All rights reserved. en_US
dc.language.iso eng en_US
dc.publisher ELSEVIER-AMSTERDAM en_US
dc.relation.isversionof 10.1016/j.cam.2022.114849 en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Stability analysis, Dynamical system, Stochastic perturbation, Fear factor en_US
dc.subject RISK, SIMULATION en_US
dc.title Dynamical behaviour of a predator-prey system encapsulating the fear affecting death rate of prey and intra-specific competition: Revisited in a fluctuating environment en_US
dc.type article en_US
dc.relation.journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS en_US
dc.contributor.department Ordu Üniversitesi en_US
dc.identifier.volume 421 en_US


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