Naima, AissaTsmada, Hocine2024-07-122024-07-122019Aissa, N. ve Tsmada, H. (2019). Global existence and uniqueness of solutions to a parabolic haptotaxis model. International Conference of Mathematical Sciences (ICMS 2019). s. 51.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2102We are dealing with the the models suggested by M.A.J and all Chaplain and all, [2, 3]. We prove existence ? and uniqueness of a local in time solution to the problem. Next, the problem is whether the solution blows-up in finite time or not. The answer depends on the choice of the initial data. Indeed, we can find in the literature examples of solutions blowing-up in finite time under appropriate initial data. In this work, we give sufficient conditions avoiding the blow-up of the solution so that the solution is global in time.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessQuasilinear parabolic equationsNonlinear parabolic problemsReaction-diffusion systemsChemotaxisHaptoaxisArticle5151