近日，数学系柯媛元老师与他人合作完成的最新研究成果“Large time behavior of solution to a fully parabolic chemotaxis–haptotaxis model in higher dimensions”发表在J. Differential Equations杂志上. 该成果比较完整的解决了由著名生物数学家M. Winkler等人于2013年提出的公开问题. 在高维空间中得到了肿瘤入侵的趋化性-趋触性模型的古典解的存在唯一性及整体有界性，并在适当条件下得到了解的渐进估计. 审稿人评价“These results are new and generalize previous knowledge, inter alia asserting similar properties in the mentioned parabolic- elliptic- ODE analogue, in a natural manner. ”“Beyond this, some substantially nontrivial new ideas are involved; in particular, I enjoyed seeing the generalization of a previously known argument on persistence of the total mass of cells, as expressed in Lemma 4.4.”“All in all, I believe that this paper marks a relevant contribution to an active field of research, and that it will have considerable impact in the scientific community related to the analysis of problems from mathematical biology.”

论文信息:

Yifu Wang and Yuanyuan Ke(corresponding author), Large time behavior of solution to a fully parabolic chemotaxis–haptotaxis model in higher dimensions, J. Differential Equations, 260(2016), 6960--6988.