Article Contents
Article Contents

# Traveling waves and their stability in a coupled reaction diffusion system

• We study the traveling wave solutions to a reaction diffusion system modeling the public goods game with altruistic behaviors. The existence of the waves is derived through monotone iteration of a pair of classical upper- and lower solutions. The waves are shown to be unique and strictly monotonic. A similar KPP wave like asymptotic behaviors are obtained by comparison principle and exponential dichotomy. The stability of the traveling waves with non-critical speed is investigated by spectral analysis in the weighted Banach spaces.
Mathematics Subject Classification: Primary: 35B35; Secondary: 91B18, 35K57, 35B40, 35P15.

 Citation:

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