%0 Journal Article
%T Traveling waves and their Stability for a Public Goods Game Model
%A Xiaojie Hou
%A Wei Feng
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0908.2193v2