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Yayın Global existence and uniqueness of solutions to a parabolic haptotaxis model(Maltepe Üniversitesi, 2019) Naima, Aissa; Tsmada, HocineWe 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.
