In this paper, we deal with the chemotaxis-haptotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded convex domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by $L^p$-estimate techniques, we show that the system possesses at least one global and bounded weak solution. Our results generalize and improve previous results.
The authors express their gratitude to the anonymous reviewers and editors for their valuable comments and suggestions which led to the improvement of the original manuscript.
"Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model." Hokkaido Math. J. 50 (2) 207 - 245, June 2021. https://doi.org/10.14492/hokmj/2018-944