کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6371794 | 1623999 | 2016 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Mathematical analysis and validation of an exactly solvable model for upstream migration of fish schools in one-dimensional rivers
ترجمه فارسی عنوان
تجزیه و تحلیل ریاضی و اعتبار یک مدل دقیق قابل حل برای مهاجرت بالادست ماهیان ماهی در رودخانه های یک بعدی
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کلمات کلیدی
مدرسه ماهی، مهاجرت بالا مشکل کنترل بهینه اصل برنامه ریزی پویا، همیلتون ژاکوبی معادله بلمن،
موضوعات مرتبط
علوم زیستی و بیوفناوری
علوم کشاورزی و بیولوژیک
علوم کشاورزی و بیولوژیک (عمومی)
چکیده انگلیسی
Upstream migration of fish schools in 1-D rivers as an optimal control problem is formulated where their swimming velocity and the horizontal oblateness are taken as control variables. The objective function to be maximized through a migration process consists of the biological and ecological profit to be gained at the upstream-end of a river, energetic cost of swimming against the flow, and conceptual cost of forming a school. Under simplified conditions where the flow is uniform in both space and time and the profit to be gained at the goal of migration is sufficiently large, the optimal control variables are determined from a system of algebraic equations that can be solved in a cascading manner. Mathematical analysis of the system reveals that the optimal controls are uniquely found and the model is exactly solvable under certain conditions on the functions and parameters, which turn out to be realistic and actually satisfied in experimental fish migration. Identification results of the functional shapes of the functions and the parameters with experimentally observed data of swimming schools of Plecoglossus altivelis (Ayu) validate the present mathematical model from both qualitative and quantitative viewpoints. The present model thus turns out to be consistent with the reality, showing its potential applicability to assessing fish migration in applications.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 281, November 2016, Pages 139-148
Journal: Mathematical Biosciences - Volume 281, November 2016, Pages 139-148
نویسندگان
Hidekazu Yoshioka,