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Linear Size-structured Population Models with Spacial Diffusion and Optimal Harvesting Problems

Published online by Cambridge University Press:  20 June 2014

N. Kato
N. Kato*
Affiliation:
Faculty of Electrical and Computer Engineering, Institute of Science and Engineering Kanazawa University, Kakuma-machi, Kanazawa, 920-1192, Japan
*
⋆Corresponding author. E-mail: nkato@se.kanazawa-u.ac.jp
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Abstract

We first investigate linear size-structured population models with spacial diffusion. Existence of a unique mild solution is established. Then we consider a harvesting problem for linear size-structured models with diffusion and show the existence of an optimal harvesting effort to maximize the total price or total harvest.

Keywords

size-structuredevolution population modelsmild solutionsoptimal harvesting
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 4: Optimal control , 2014 , pp. 122 - 130
Copyright
© EDP Sciences, 2014

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