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• W4385678876 abstract "In this paper, we consider a free boundary problem modeling 3-dimensional multilayered tumor growth with time delay. While the time delay and the spatial displacement are biologically very reasonable, their introduction forces the system to be non-local, rendering a system without any possibility of explicit expressions for pressure and the displacement function. These are the challenges for bifurcation analysis. In comparison to the 2-dimensional case, the kernel of the linearized operator is no longer one-dimensional for our 3-dimensional multilayered tumor model. In particular, some monotonicity properties enjoyed in Friedman and Hu (2008) [6] and Zhao and Hu (2020) [26] are no longer valid here, which adds complexity to the kernel of the linearized operator. The novelty of this paper is to explore periodicity and symmetry in order to develop an effective method for the bifurcation in this case. We not only give bifurcation results for all eigenvalues μj, but also show the existence of a plethora of bifurcation solutions." @default.
• W4385678876 created "2023-08-09" @default.
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• W4385678876 date "2023-11-01" @default.
• W4385678876 modified "2023-10-16" @default.
• W4385678876 title "Bifurcation analysis of a free boundary problem modeling multilayered tumor growth with time delay" @default.
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• W4385678876 doi "https://doi.org/10.1016/j.jde.2023.07.031" @default.
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