2023-05-112023-05-112023-01-22Sastre Gómez, S. y Tello, J.I. (2023). On the existence of solutions for a parabolic-ellipticchemotaxis model with flux limitation and logistic source. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 46 (8), 9252-9267. https://doi.org/10.1002/mma.9050.0170-42141099-1476https://hdl.handle.net/11441/145841In this article, we study the existence of solutions of a parabolic-elliptic system of partial differential equations describing the behaviour of a biological species “ ” and a chemical stimulus “ ” in a bounded and regular domain of . The equation for is a parabolic equation with a nonlinear second order term of chemotaxis type with flux limitation as for . The chemical substance distribution satisfies the elliptic equation The evolution of is also determined by a logistic type growth term . The system is studied under homogeneous Neumann boundary conditions. The main result of the article is the existence of uniformly bounded solutions for and any .application/pdf16 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/On the existence of solutions for a parabolic-ellipticchemotaxis model with flux limitation and logistic sourceinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1002/mma.9050