Linear Size-structured Population Models with Spacial Diffusion and Optimal Harvesting Problems. (20th June 2014)

• Record Type: Journal Article
• Authors: Kato, N.
• Editors: Anita, S.; Hritonenko, N.; Marinoschi, G.; Swierniak, A.
• Is Part Of: Mathematical modelling of natural phenomena. Volume 9:Number 4(2014)
• Page Start: 122
• Page End: 130
• Publication Date: 2014-06-20
• Subjects: size-structured, -- evolution population models, -- mild solutions, -- optimal harvesting; Science -- Mathematical models -- Periodicals; Medicine -- Mathematical models -- Periodicals; Biology -- Mathematical models -- Periodicals; 501.51
• DOI: 10.1051/mmnp/20149408
• Languages: English
• ISSNs: 0973-5348

Abstract

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.