An optimal stopping approach for onset of fish migration
An optimal stopping approach for onset of fish migration
复制标题
鱼类洄游开始的最佳停止方法
DOI：
10.1007/s12064-018-0263-8
复制
发表时间：
2018
影响因子：
1.1
通讯作者：
Yoshioka H. and Yaegashi Y.
中科院分区：
文献类型：
--
作者：
Yaegashi Y.;Yoshioka H.;Unami K.;and Fujihara M.;Yoshioka H. and Yaegashi Y.
了解洄游鱼类的生活史，特别是洄游的开始，是一个关键的生物学和生态学研究课题，仍然没有得到澄清。在本文中，我们提出了一个简单的数学模型的背景下，鱼类洄游的开始随机最优停止理论，这是一个新的尝试，我们的知识。找到的标准开始迁移减少到解决一个变分不等式的退化椭圆型。作为新的数学模型的第一步，数学和数值分析，特别强调该模型是否与过去的鱼类洄游的观测结果相一致的检查，证明理论和观测结果之间的合理协议。因此，本数学模型有可能作为分析鱼类洄游开始的简单基础。
Comprehending life history of migratory fish, onset of migration in particular, is a key biological and ecological research topic that still has not been clarified. In this paper, we propose a simple mathematical model for the onset of fish migration in the context of a stochastic optimal stopping theory, which is a new attempt to our knowledge. Finding the criteria of the onset of migration reduces to solving a variational inequality of a degenerate elliptic type. As a first step of the new mathematical modeling, mathematical and numerical analyses with particular emphasis on whether the model is consistent with the past observation results of fish migration are examined, demonstrating reasonable agreement between the theory and observation results. The present mathematical model thus potentially serves as a simple basis for analyzing onset of fish migration.