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This paper deals with a nonlinear system of partial differential equationsmodeling a simplified tumor-induced angiogenesis taking into account only theinterplay between tumor angiogenic factors and endothelial cells. Consideredmodel assumes a nonlinear flux at the tumor boundary and a nonlinearchemotactic response. It is proved that the choice of some key parametersinfluences the long-time behaviour of the system. More precisely, we show theconvergence of solutions to different semi-trivial stationary states fordifferent range of parameters.

Long-time behavior of an angiogenesis model with flux at the tumor boundary