Traveling waves and their Stability for a Public Goods Game Model

Details Traveling waves and their Stability for a Public Goods Game Model Traveling waves and their Stability for a Public Goods Game Model

2009-08-17

arxiv.org/abs/0908.2193v2

Mathematics

Analysis of PDEs

22 pages

Scientific paper

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 investigate by spectral analysis in the weighted Banach spaces.

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