Title: Traveling waves and their stability in a coupled reaction diffusion system
Abstract: We study the traveling wave solutions to a reaction diffusion systemmodeling the public goods game with altruistic behaviors. Theexistence of the waves is derived through monotone iteration of apair of classical upper- and lower solutions. The waves are shown tobe unique and strictly monotonic. A similar KPP wave like asymptoticbehaviors are obtained by comparison principle and exponentialdichotomy. The stability of the traveling waves with non-criticalspeed is investigated by spectral analysis in the weighted Banachspaces.