- Mathematical and Theoretical Epidemiology and Ecology Models
- Economic theories and models
- Mathematical Biology Tumor Growth
- Marine and fisheries research
- Evolutionary Game Theory and Cooperation
- Cancer Cells and Metastasis
- Optimization and Variational Analysis
- Evolution and Genetic Dynamics
- Consumer Market Behavior and Pricing
- Marine Bivalve and Aquaculture Studies
- Merger and Competition Analysis
- Process Optimization and Integration
- Supply Chain and Inventory Management
- Game Theory and Applications
- Gene Regulatory Network Analysis
- Advanced Optimization Algorithms Research
- Microtubule and mitosis dynamics
- Microbial Metabolic Engineering and Bioproduction
- Nonlinear Dynamics and Pattern Formation
- Advanced Thermodynamics and Statistical Mechanics
- Navier-Stokes equation solutions
- Differential Equations and Numerical Methods
- Slime Mold and Myxomycetes Research
- Bioeconomy and Sustainability Development
- Advanced Control Systems Optimization
Mohammed V University
2012-2024
Mohamed I University
2012-2013
Laboratoire de Mathématiques d'Orsay
2001-2011
Université Ibn-Tofail
2000-2011
Laboratoire des Sciences de l’Information et de la Communication
2001-2005
This work is composed by two parts: the first part consists of development and analysis a bioeconomical model fisheries management, where dynamic controlled variation fishing effort; second this study asymptotical stability equilibrium point (stock/fishing effort) model; optimal strategy described briefly.
ABSTRACT. After the extension of Exclusive Economic Zone, in 1977, to 200 miles, most fish stocks came under jurisdiction adjacent coastal states. This development opened prospects effective management open sea fisheries. Coastal states have right plan out operation so‐called by Clarke and Munro “distant water fishing nations” from their Zone. Under some arrangements, a foreign fleet is allowed harvest resource Zone area. Munro, [1987] [1991], focus on issue optimum terms conditions access...
We consider cancer cytotoxic drugs as an optimal control problem to stabilize a heterogeneous tumor by attacking not the most abundant cells, but those that are crucial in ecosystem. propose mathematical stem cell model translates hierarchy and heterogeneity of types including highly structured tumorigenic cells yield low differentiated cells. With respect problem, under certain admissibility hypothesis, controls our bang-bang controls. These treatments can retain entire neighborhood...
In this work we deal with the design of robust feedback control wastewater treatment system, namely activated sludge process. This problem is formulated by a nonlinear ordinary differential system. On one hand, develop analysis when specific growth function bacterium μ not well known. other also substrate concentration in feed stream sin unknown, provide an observer system and propose term recycle rate, order to keep pollutant lower than allowed maximum level sd.
This paper addresses the problem of pricing for an airline or a retailer selling one product to stream repeated customers over innite time horizon. We propose dynamic model that incorporates concept customers’ reference price. derive optimal policy and prove its monotone convergence in monopoly context. analytical result prices. Our is function current market condition, represented by price, as opposed previous studies where time. Mathematics Subject Classication: 90C39, 90C46, 91B24, 90B99
This paper tries to investigate a differential inclusion optimal control problem with state constraint (P) through an approximation of Hamilton–Jacobi–Bellman viscosity solutions. By invoking duality result between the and upper hull subsolutions HJB equation, we prove that value functions discrete problems are solutions Bellman equations converge function (P). We also establish trajectory sequence converges solution The idea behind is based on Euler polygonal arcs Subbotin's proximal aiming...