A Mathematical Model for Optimal Management and Utilization of a Renewable Resource by Population
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A dynamical model is proposed and analyzed to study the effect of the population on the resource biomass by taking into account the crowding effect.
Biological and bionomical equilibria of the system are discussed.
The global stability behavior of the positive equilibrium is studied via the output feedback control.
An appropriate Hamiltonian function is formed for the discussion of optimal harvesting of resource which is utilized by the population using Pontryagin's Maximum Principal.
A numerical simulation is performed on the model to analyze the theoretical results.
American Psychological Association (APA)
Dubey, B.& Patra, Atasi. 2013. A Mathematical Model for Optimal Management and Utilization of a Renewable Resource by Population. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-485162
Modern Language Association (MLA)
Dubey, B.& Patra, Atasi. A Mathematical Model for Optimal Management and Utilization of a Renewable Resource by Population. Journal of Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-485162
American Medical Association (AMA)
Dubey, B.& Patra, Atasi. A Mathematical Model for Optimal Management and Utilization of a Renewable Resource by Population. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-485162
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485162
