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oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/131332026-10-29T19:43:05Zopenairedrivercom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10218

Global attractors in a two-species chemotaxis system with two chemicals and variable logistic sourcesAyazoglu, RabilSalmanova, Kamala A.global boundednessTwo-species chemotaxis systemvariable logistic sourceThis paper deals with the higher dimension quasilinear parabolic-parabolic chemotaxis model involving a source term of logistic type (formula presented), subject to the homogeneous Neumann boundary conditions in a Ω ⊂ RN (N ≥ 1) with smooth boundary. It is shown that for the attractionrepulsion case with χ2 ≤ 0, the global boundedness of solutions can be ensured by µ1, µ2 > 0 without any other assumptions, due to the contribution of the logistic sources included in addition to the repulsion mechanism. While for the attraction-attraction case with χ2 > 0, the global boundedness of solutions has to require logistic coefficients µ1, µ2 > 0 such that µ2 properly large.Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan2024Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/13133https://doi.org/10.30546/2617-7900.44.1.2024.203005-8139enTransactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciencesinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/13133