ArticleTheory in biosciences = Theorie in den Biowissenschaften2018
An optimal stopping approach for onset of fish migration.
Article in Theory in biosciences = Theorie in den Biowissenschaften, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Effects of water currents on fish migration through a Feynman-type path integral approach underTheory in biosciences = Theorie in den Biowissenschaften · 2021Article
- Cellular sociology regulates the hierarchical spatial patterning and organization of cells in organisms.Open biology · 2020Review
- A stochastic differential game approach toward animal migration.Theory in biosciences = Theorie in den Biowissenschaften · 2019Article
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2 authors.
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Abstract
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.
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