Construction of reaction-diffusion systems suitable to track interfacial dynamics

某些描述竞争种群空间分离的自由边值问题可以看作是某些反应扩散系统的某些奇异极限。这一事实的数学根据已经得到了。它还表明，描述合作物种的多相入侵的数学模型，可以近似由几个Fisher波的数学模型，描述一个物种的单次入侵的叠加前。

Some free boundary problems describing the spatial segregation of competitive species can be regarded as certain singular limits of some reaction-diffusion systems. The mathematical grounds of this fact have been obtained. It is also shown that a mathematical model describing multi-phase invasion of cooperative species can be approximated by stacked fronts of several Fisher's waves which are mathematical models describing the single invasion of a species.