Abstract:
We study the dynamics of a consumer-resource reaction-diffusion model, in both homogeneous and heterogeneous environments. We study the existence, uniqueness and stability of positive steady states and the persistence of time-dependent solutions. A comparison of homogeneous vs heterogeneous environments will be included.
Biography:
Wei-Ming Ni received his B.S. from Taiwan University, and Ph.D. in mathematics from Courant Institute, New York University. He is currently cross-listed on the faculty of University of Minnesota, and the Chinese University of Hong Kong (Shenzhen campus). His research interests are mainly in elliptic and/or parabolic equations/systems, including: Symmetry properties of solutions, solutions on entire space and their stability properties, peak solutions (spiky Turing patterns), cross-diffusion, and interactions between spatial and/or temporal heterogeneities and diffusion in ecology.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai