Analysis of a fractional pollution model in a system of three interconnecting lakes

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dc.contributor.authorAnjam, Yasir Nadeem
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorRahman, Mati ur
dc.contributor.authorBatool, Amna
dc.date.accessioned2024-02-23T14:37:30Z
dc.date.available2024-02-23T14:37:30Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractWater pollution is a critical global concern that demands ongoing scrutiny and revision of water resource policies at all levels to safeguard a healthy living environment. In this study, we focus on examining the dynamics of a fractional-order model involving three interconnected lakes, utilizing the Caputo differential operator. The aim is to investigate the issue of lake pollution by analyzing a system of linear equations that represent the interconnecting waterways. To numerically solve the model, we employ two methods: The Laplace transform with the Adomian decomposition method (LADM) and the Homotopy perturbation method (HPM). We compare the obtained numerical solutions from both methods and present the results. The study encompasses three variations of the model: the periodic input model, the exponentially decaying input model, and the linear input model. MATLAB is employed to conduct numerical simulations for the proposed scheme, considering various fractional orders. The numerical results are further supported by informative graphical illustrations. Through simulation, we validate the suitability of the proposed model for addressing the issue at hand. The outcomes of this research contribute to the understanding and management of water pollution, aiding policymakers and researchers in formulating effective strategies for maintaining water quality and protecting our environment.en_US
dc.identifier.doi10.3934/biophy.2023014
dc.identifier.endpage240en_US
dc.identifier.issn2377-9098
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage220en_US
dc.identifier.urihttps://doi.org/10.3934/biophy.2023014
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16134
dc.identifier.volume10en_US
dc.identifier.wosWOS:001008992000001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Biophysicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLake Pollution Problemen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectHomotopy Perturbation Method (Hpm)en_US
dc.subjectLaplace Adomian Decomposition Method (Ladm)en_US
dc.subjectNumerical Simulationsen_US
dc.titleAnalysis of a fractional pollution model in a system of three interconnecting lakesen_US
dc.typeArticleen_US

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