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In this paper, we study the following coupled chemotaxis-haptotaxis model with remodeling of non-diffusible attractantin a bounded smooth domain Ω ⊆ R 2 with zero-flux boundary conditions, where χ, ξ and η are positive parameters. Under appropriate regularity assumptions on the initial data (u 0 , v 0 , w 0 ), by developing some L p -estimate techniques, we prove the global existence and uniqueness of classical solutions when µ > 0, where μ is the logistic growth rate of cancer cells. This result removes the additional restriction on μ, where μ is sufficiently large in Pang and Wang (2017 J. Differ. Equ. 263 1269-92) for the global existence of solutions.

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