Abstract
The aim of this paper is to determine the optimal locations where Fish Aggregating Devices (F.A.D) or artificial traps must be placed in a given place of the sea and to preverse resources. Our work focuses on two parts: the first one is the study of static optimization problem with a functional taking into account the distance between the sites or F.A.D and the second one is devoted to solving an optimization problem with constraints expressed in classical model of fishery: Lagrange's method and Pontryagin's maximum principle the main mathematical tools to get characterization results of the location of artificial traps.
Highlights
Our work focuses on two parts: the first one is the study of static optimization problem with a functional taking into account the distance between the sites or F.A.D and the second one is devoted to solving an optimization problem with constraints expressed in classical model of fishery: Lagrange’s method and Pontryagin’s maximum principle the main mathematical tools to get characterization results of the location of artificial traps
In this paper one supposes to follow one type of fish in a given place to capture it by using artificial traps or Artificial Habitats called Fish Aggregating Devices (FADS) see for example (Moussaoui, 2011) and references therein for more details
To take into account the economic profitability and the preserving resource, we propose to study geometrical optimization problems linking these two concerns
Summary
Sidy Ly1,2, Fulgence Mansal[1,2], Diaraf Seck1,2 & Moussa Balde[1,3 1] University Cheikh Anta Diop, Dakar, Senegal. 2 Laboratory Decision Mathematics and numerical Analysis 3 Laboratory of Geometry and Application. Sidy Ly1,2, Fulgence Mansal[1,2], Diaraf Seck1,2 & Moussa Balde[1,3 1] University Cheikh Anta Diop, Dakar, Senegal. 2 Laboratory Decision Mathematics and numerical Analysis 3 Laboratory of Geometry and Application. Received: April 6, 2016 Accepted: April 26, 2016 Online Published: August 1, 2016 doi:10.5539/jmr.v8n4p211
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
