标题： 关于随机基因漂变的连续模型：动力学边界条件方法 显示英文标题

标题： On a Continuum Model for Random Genetic Drift: A Dynamical Boundary Condition Approach

摘要： 我们通过采用动态边界条件的方法，提出了一种新的连续模型来研究随机基因漂变问题。这个新模型可以看作是正规化的Kimura方程，且允许存在连续解。我们证明了正规化系统的强解的存在性和唯一性，并展示了一些正规化模型的数值结果，这些结果显示该模型能够捕捉到随机基因漂变的主要特征，如基因固定和第一矩守恒。 显示英文摘要

摘要： We propose a new continuum model for a random genetic drift problem by employing a dynamical boundary condition approach. The new model, which can be viewed as a regularized Kimura equation, admits a continuous solution. The existence and uniqueness of the strong solution of the regularized system are shown. We present some numerical results for the regularized model, which indicate that the model can capture the main features of random genetic drift, such as gene fixation and conservation of the first moment.