OPTIMAL EXPLOITATION MANAGEMENT OF STAGE-STRUCTURED PREDATOR-PREY MODEL
C. JERRY *
Equipe TSI, Department of Mathematics and Informatics, Faculty of Sciences, University Moulay Ismail, Meknes, Morocco and Faculte des Sciences Juridiques, Economiques et Sociales, Meknes, Morocco
N. RAISSI
Faculty of Sciences, Mohammed V University at Souissi, Rabat, Morocco
*Author to whom correspondence should be addressed.
Abstract
The optimal exploitation management of a bioeconomic model with a stage-structured predator-prey is investigated. Using the mathematical concept of variational calculus, we examine the problem of maximizing the income generated by the exploitation, and how the predator affects the optimal harvesting effort.
Keywords: Stage-structure population model, fishing effort, predator-prey model, variational calculus