Analytical dynamics to the interactions of a diffusive mussel–algae model

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dc.contributor.authorMuhammad Jawaz
dc.contributor.authorMuhammad Shahzad
dc.contributor.authorNauman Ahmed
dc.contributor.authorMuhammad Zafarullah Baber
dc.contributor.authorMuhammad Iqbal
dc.contributor.authorAli Akgül
dc.date.accessioned2025-04-14T12:17:48Z
dc.date.available2025-04-14T12:17:48Z
dc.date.issued2025-06
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThis paper examines the diffusive mussel–algae model and explores soliton solutions and wave structures using advanced analytical techniques, particularly the new auxiliary equation method. The proposed method reveals a variety of solution types, including hyperbolic, parabolic, and mixed forms. These closed-form results provide the nature of the current problem. These solutions are validated against known results and numerical simulations. Additionally, we describe two-dimensional and three-dimensional graphical representations of the solutions, illustrating their spatial and temporal dynamics. This study enhances the theoretical understanding of mussel algae interactions and offers practical insights for eco-logical management, showcasing the contributions of the approach to resolving complex ecological dynamics
dc.identifier.citationJawaz, M., Shahzad, M., Ahmed, N., Baber, M. Z., Iqbal, M., & Akgül, A. (2025). Analytical dynamics to the interactions of a diffusive mussel-algae model. Partial Differential Equations in Applied Mathematics, 101151.
dc.identifier.doi10.1016/j.padiff.2025.101151
dc.identifier.issn2666-8181
dc.identifier.scopus2-s2.0-86000797970
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.padiff.2025.101151
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8585
dc.identifier.volume14
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.publisherElsevier BV
dc.relation.ispartofPartial Differential Equations in Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAlgebraic
dc.subjectDynamics
dc.subjectPhenomena
dc.subjectPhysical
dc.subjectSystem
dc.subjectTransformations
dc.subjectVelocity
dc.subjectWave structures
dc.titleAnalytical dynamics to the interactions of a diffusive mussel–algae model
dc.typejournal-article
oaire.citation.volume14

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