| Issue |
Math. Model. Nat. Phenom.
Volume 9, Number 4, 2014
Optimal control
|
|
|---|---|---|
| Page(s) | 122 - 130 | |
| DOI | https://doi.org/10.1051/mmnp/20149408 | |
| Published online | 20 June 2014 | |
Linear Size-structured Population Models with Spacial Diffusion and Optimal Harvesting Problems
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
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.
Mathematics Subject Classification: 35Q92 / 47D06 / 49J20 / 92D25
Key words: size-structured / evolution population models / mild solutions / optimal harvesting
© EDP Sciences, 2014
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