具有消失扩散的个体聚类模型
A model of individual clustering with vanishing diffusion
摘要：
考虑一维空间中具有两个特定繁殖率和小扩散参数的个体聚类模型。它由一个种群密度的漂移-扩散方程和一个个体速度的椭圆型方程组成。我们证明了收敛（在适当的拓扑结构）的问题的解决方案的唯一解决方案的极限运输问题，扩散系数趋于零。
英文摘要：
We consider a model of individual clustering with two specific reproduction rates and small diffusion parameter in one space dimension. It consists of a drift-diffusion equation for the population density coupled to an elliptic equation for the velocity of individuals. We prove the convergence (in suitable topologies) of the solution of the problem to the unique solution of the limit transport problem, as the diffusion coefficient tends to zero.
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