一类公共物品对策模型的行波解及其稳定性
Traveling waves and their Stability for a Public Goods Game Model
摘要：
研究了一类具有利他行为的公共物品博弈反应扩散系统的行波解。波的存在性是通过一对经典上下解的单调迭代得到的。波被证明是唯一的和严格单调的。利用比较原理和指数型二分性得到了类似KPP波的渐近行为。在加权巴拿赫空间中，利用谱分析方法研究了非临界速度行波的稳定性。
英文摘要：
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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