郭忠勝 Jong-Shenq Guo

氣候變遷對反應擴散系統時空動態行為的影響

I studied the effect of climate change on the spatial-temporal dynamics of some reaction-diffusion systems arising in mathematical biology. This includes the existence, uniqueness and stability of forced waves (traveling wave with the environmental shifting speed as its wave speed), and the spreading dynamics of various biological models. More specifically, I studied: (1) the spreading dynamics for a three-species predator-prey system with either two weak competing preys or two weak competing predators in a shifting habitat; (2) the existence, uniqueness and stability of forced waves for the Fisher-KPP equation in a shifting environment; (3) the existence of forced waves and the disease-spreading dynamics of the West Nile virus epidemic model under shifting climatic conditions; (4) the forced waves of a delayed diffusive endemic model with a shifting transmission rate; (5) the forced waves for a three-species predator-prey system with nonlocal dispersal in a shifting environment; (6) the persistence of species in a predator-prey system with climate change and either nonlocal or local dispersal.