To better control the spread of the COVID-19 epidemic, a reaction-diffusion COVID-19 epidemic model is established by taking into account factors such as individual spatial movement. First, the well-posedness of the system is analyzed, and the global compact attractor of the solutions to the diffusion epidemic model is explored via the \(\kappa \) -contraction method. Second, the basic reproduction number is derived.The global stability of the disease-free equilibrium of the system is discussed when the basic reproduction number is less than 1, and the existence of the endemic equilibrium of the reaction-diffusion COVID-19 epidemic model is then established when the basic reproduction number is greater than 1. In particular, the global dynamics of the system are investigated when the basic reproduction number equals 1, and the profiles of the set of positive steady-state solutions are examined using the bifurcation method. Finally, two numerical simulations are presented to verify the obtained results. Our findings can provide certain guidance and suggestions for the prevention and control of the COVID-19 epidemic.
