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Abstract: We study the traveling wave solutions to a reaction diffusion system modelingthe public goods game with altruistic behaviors. The existence of the waves isderived through monotone iteration of a pair of classical upper- and lowersolutions. The waves are shown to be unique and strictly monotonic. A similarKPP wave like asymptotic behaviors are obtained by comparison principle andexponential dichotomy. The stability of the traveling waves with non-criticalspeed is investigate by spectral analysis in the weighted Banach spaces.



Author: Xiaojie Hou, Wei Feng

Source: https://arxiv.org/







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