| Abstract: |
| In this talk, I will report our recent research on the asymptotic behaviour of a class of nonlocal dispersal systems with time-varying domains. We first establish the comparison principle for generalized sub- and supersolutions of nonautonomous nonlocal dispersal systems. Based on the spectral bound, we rigorously characterize the threshold dynamics of nonautonomous nonlocal dispersal systems in the time-periodic case, which provide a comprehensive framework to examine the threshold dynamics of the original system on asymptotically fixed and time-periodic domains. In the asymptotically unbounded case, we introduce an auxiliary function to overcome the challenges arising from the asymptotically vanishing viscosity in the system and the time-dependent coupling structure in kernel. This talk is based on joint work with Prof. Xiao-Qiang Zhao and Dr. Xiandong Lin, which has been published by JDE (2026). |
|