Dynamical behaviour of discrete logistic equation with Allee effect in an uncertain environment

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dc.authoridAlamin, Abdul/0009-0009-9621-5383
dc.authoridAlam, Shariful/0000-0001-8263-117X
dc.authoridMONDAL, SANKAR PRASAD/0000-0003-4690-2598
dc.contributor.authorAlamin, Abdul
dc.contributor.authorAkgul, Ali
dc.contributor.authorRahaman, Mostafijur
dc.contributor.authorMondal, Sankar Prasad
dc.contributor.authorAlam, Shariful
dc.date.accessioned2024-12-24T19:27:35Z
dc.date.available2024-12-24T19:27:35Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe Allee effect refers to a natural occurrence where the average individual fitness of a population or species is correlated with population size or density. A demographic Allee effect having a threshold population size constitutes a strong Allee effect. On the contrary, it is called the weak Allee effect when it lacks an adequate population size. This paper revisits a singlespecies logistic growth model under the combined impacts of the strong Allee effect, discrete population dynamics, and an impreciseness phenomenon. Several existing literatures on models with deterministic and continuous time frames address the Allee effect's significance. The population growth model may disobey the continuous time frame of dynamics. The difference equation may be a fruitful substitute for the traditional differential equation to trace a discrete logistic population growth model phenomenon. Also, initial information and the population growth model's associated coefficient may sometimes be vague. Fuzzy logic is a suitable tool to describe such vagueness in mathematical terms. We have discussed the proposed model through the different fuzzy scenarios to realize the relative impact of different fuzzy parameters. This paper also includes the studies of equilibrium points and their corresponding stability analysis for each case. This paper differs from the existing literature on Allee effect in that it contributes an alternative approach to manifest the logistic growth model in a discrete time frame under uncertainty. Numerical results show the fuzzy impact of different parameters of the model. One of the significant insights of the outcome is that the extinction or highly growing population depends on the parameter's values rather than the population size only.
dc.identifier.doi10.1016/j.rico.2023.100254
dc.identifier.issn2666-7207
dc.identifier.scopus2-s2.0-85163810610
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.rico.2023.100254
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6713
dc.identifier.volume12
dc.identifier.wosWOS:001209058600020
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Control and Optimization
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFuzzy set theory
dc.subjectDifference equation
dc.subjectStability criteria for difference equation
dc.subjectAllee effect
dc.titleDynamical behaviour of discrete logistic equation with Allee effect in an uncertain environment
dc.typeArticle

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