Dynamics and strategies evaluations of a novel reaction-diffusion COVID-19 model with direct and aerosol transmission

•A novel reaction-diffusion COVID-19 model with direct and aerosol transmission is proposed.•The basic reproduction number R0 of spatial diffusion system is obtain and confirm that R0 is the threshold for predicting whether COVID-19 is prevalent.•Lyapunov methods and some novel differential inequality techniques for PDE.•Develop a new numerical simulation method to accurately fit the development of COVID-19 in Putian and Yangzhou, China, respectively.