This talk is concerned with a cross-diffusion tumor invasion model with double-taxis effect. We first investigate the global existence of classical solutions in two dimensional space, some new estimation techniques are adopted to overcome the difficulties brought by double-taxis. Subsequently, we pay our attention to the stability of the equilibria. We first consider the stability of a semi trivial equilibrium, and give sufficient conditions to ensure its global asymptotic stability or instability. While, for the other equilibria, the stability analysis is complicated even for some special cases, and both the double chemotactic coefficients will affect the stability of the solution.
会议密码:1014
华南师范大学数学学院教授,博士生导师,已发表学术论文70余篇,获得钟家庆数学奖,香江学者,全国优秀博士学位论文提名,教育部新世纪优秀人才支持计划,广东省杰出青年基金项目支持,并连续主持多项国家自然科学基金。