Abstract
In this paper, a delayed mathematical model of a nonlinear reaction–diffusion equations modeling the growth of tumors is studied. The establishment of the model is based on the diffusion of nutrient and mass conservation for the two-process proliferation and apoptosis (cell death due to aging). It is assumed that the process of proliferation is delayed compared to apoptosis. Nonnegativity of the solutions and stability of stationary solutions are studied in the paper. The results show that the dynamical behavior of the solutions of the model is similar to that of the solutions for the corresponding non-retarded problem under some assumptions.
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