Numerical study of diffusive fish farm system under time noise

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dc.authoridAli, Syed Mansoor/0000-0003-1416-640X
dc.contributor.authorYasin, Muhammad Waqas
dc.contributor.authorAhmed, Nauman
dc.contributor.authorSaeed, Jawaria
dc.contributor.authorBaber, Muhammad Zafarullah
dc.contributor.authorAli, Syed Mansoor
dc.contributor.authorAkgul, Ali
dc.contributor.authorMuhammad, Shah
dc.date.accessioned2024-12-24T19:27:58Z
dc.date.available2024-12-24T19:27:58Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn the current study, the fish farm model perturbed with time white noise is numerically examined. This model contains fish and mussel populations with external food supplied. The main aim of this work is to develop time-efficient numerical schemes for such models that preserve the dynamical properties. The stochastic backward Euler (SBE) and stochastic Implicit finite difference (SIFD) schemes are designed for the computational results. In the mean square sense, both schemes are consistent with the underlying model and schemes are von Neumann stable. The underlying model has various equilibria points and all these points are successfully gained by the SIFD scheme. The SIFD scheme showed positive and convergent behavior for the given values of the parameter. As the underlying model is a population model and its solution can attain minimum value zero, so a solution that can attain value less than zero is not biologically possible. So, the numerical solution obtained by the stochastic backward Euler is negative and divergent solution and it is not a biological phenomenon that is useless in such dynamical systems. The graphical behaviors of the system show that external nutrient supply is the important factor that controls the dynamics of the given model. The three-dimensional results are drawn for the various choices of the parameters.
dc.description.sponsorshipKing Saud University, Riyadh, Saudi Arabia [RSPD2024R733]
dc.description.sponsorshipThis research is funded by Researchers Supporting Project Number (RSPD2024R733), King Saud University, Riyadh, Saudi Arabia.
dc.identifier.doi10.1038/s41598-024-62304-8
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid38926460
dc.identifier.scopus2-s2.0-85197126462
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-024-62304-8
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6854
dc.identifier.volume14
dc.identifier.wosWOS:001259483400053
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectStochastic PDEs
dc.subjectFinite difference schemes
dc.subjectAnalysis of schemes
dc.subjectSimulations
dc.titleNumerical study of diffusive fish farm system under time noise
dc.typeArticle

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