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Emergent patterns in diffusive Turing-like systems with fractional-order operator

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dc.contributor.author Owolabi, Kolade M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-04-08T12:51:37Z
dc.date.available 2022-04-08T12:51:37Z
dc.date.issued 2021-10
dc.identifier.citation Owolabi, Kolade M.; Baleanu, Dumitru (2021). "Emergent patterns in diffusive Turing-like systems with fractional-order operator", Neural Computing & Applications, Vol. 33, No. 19, pp. 12703-12720. tr_TR
dc.identifier.issn 0941-0643
dc.identifier.uri http://hdl.handle.net/20.500.12416/5345
dc.description.abstract Patterns obtained in abiotically homogeneous habitats are of specific interest due to the fact that they require an explanation based on the individual behavior of chemical or biological species. They are often referred to as `emergent patterns,' which arise due to nonlinear interactions of species in spatial scales that are much more larger than the individuals characteristic scale. In this work, we examine the spatial pattern formation of diffusive fractional predator-prey models with different functional response. In the first model, we investigate the dynamics of the Riesz fractional predation of Holling type-II functional response with the prey Allee effects, while the second model describes prey-dependent functional response of Ivlev-case and fractional reaction-diffusion. In order to give good guidelines on the correct choice of parameters for numerical simulation experiment of full fractional-order reaction-diffusion systems, we discuss the dynamics of each system in the biologically meaningful region u >= 0 and v >= 0 and give conditions for the existence of Hopf bifurcation, and Turing instability with either homogeneous (zero-flux) boundary conditions which imply no external input or Dirichlet boundary conditions. A novel alternating direction implicit based on backward Euler scheme with either the homogeneous Neumann (zero-flux) or Dirichlet boundary is applied for the numerical solution. The performance of this method is compared with that of the shifted Grunwald formula in terms of accuracy and computational time. Numerical experiments which justify our theoretical findings exhibits some fractional-order controlled patterns of stripes, spots and chaotic spirallike structures that are mostly found in animal coats. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s00521-021-05917-8 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Biological Systems tr_TR
dc.subject Fractional Reaction–Diffusion tr_TR
dc.subject Linear Stability Analysis tr_TR
dc.subject Chaotic Oscillations tr_TR
dc.subject Emergent Spatial Patterns tr_TR
dc.title Emergent patterns in diffusive Turing-like systems with fractional-order operator tr_TR
dc.type article tr_TR
dc.relation.journal Neural Computing & Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 33 tr_TR
dc.identifier.issue 19 tr_TR
dc.identifier.startpage 12703 tr_TR
dc.identifier.endpage 12720 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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