Comparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction-Diffusion Biofilm Model including Quorum Sensing

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dc.authoridBaber, Muhammad Zafarullah/0009-0001-4271-6272
dc.authoridCordero, Alicia/0000-0002-7462-9173
dc.authoridAhmed, Nauman/0000-0003-1742-585X
dc.authoridTorregrosa, Juan R./0000-0002-9893-0761
dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.contributor.authorBaber, Muhammad Zafarullah
dc.contributor.authorAhmed, Nauman
dc.contributor.authorYasin, Muhammad Waqas
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorAkguel, Ali
dc.contributor.authorCordero, Alicia
dc.contributor.authorTorregrosa, Juan R.
dc.date.accessioned2024-12-24T19:33:42Z
dc.date.available2024-12-24T19:33:42Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis study deals with a stochastic reaction-diffusion biofilm model under quorum sensing. Quorum sensing is a process of communication between cells that permits bacterial communication about cell density and alterations in gene expression. This model produces two results: the bacterial concentration, which over time demonstrates the development and decomposition of the biofilm, and the biofilm bacteria collaboration, which demonstrates the potency of resistance and defense against environmental stimuli. In this study, we investigate numerical solutions and exact solitary wave solutions with the presence of randomness. The finite difference scheme is proposed for the sake of numerical solutions while the generalized Riccati equation mapping method is applied to construct exact solitary wave solutions. The numerical scheme is analyzed by checking consistency and stability. The consistency of the scheme is gained under the mean square sense while the stability condition is gained by the help of the Von Neumann criteria. Exact stochastic solitary wave solutions are constructed in the form of hyperbolic, trigonometric, and rational forms. Some solutions are plots in 3D and 2D form to show dark, bright and solitary wave solutions and the effects of noise as well. Mainly, the numerical results are compared with the exact solitary wave solutions with the help of unique physical problems. The comparison plots are dispatched in three dimensions and line representations as well as by selecting different values of parameters.
dc.identifier.doi10.3390/math12091293
dc.identifier.issn2227-7390
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85193029098
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math12091293
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8239
dc.identifier.volume12
dc.identifier.wosWOS:001219854000001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectreaction-diffusion biofilm model
dc.subjectmultiplicative time noise
dc.subjectfinite difference scheme
dc.subjectstochastic solitary wave solutions
dc.subjectgeneralized Riccati equation mapping method
dc.titleComparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction-Diffusion Biofilm Model including Quorum Sensing
dc.typeArticle

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