Among the many factors that contribute to overexploitation of marine fisheries, the role played b... more Among the many factors that contribute to overexploitation of marine fisheries, the role played by uncertainty is important. This uncertainty includes both the scientific uncertainties related to the resource dynamics and the evolution of its price. Recently, many works advocate for the use of Marine Protected Areas (MPAs) as a central element of future stock management. In this work we investigate and analyse the impacts of the creation of MPAs, in economic sustainability through a bioeconomical model integrating the evolution of the resource price. Equilibria and stability of the model are studied. Also, instead of studying the environmental and economic interactions in terms of optimal control, we focus on the viability of the system. This viability is defined by a set of economic state constraints. This constraints combine a guaranteed consumption and a minimum income for fishermen. Using the mathematical concept of viability kernel, we exhibit how marines reserves might guarant...
A two non-linear dynamic models, first one in two state variables and one control and the second ... more A two non-linear dynamic models, first one in two state variables and one control and the second one with three state variables and one control, are presented for the purpose of finding the optimal combination of exploitation, capital investment and price variation in the commercial fishing industry. This optimal combination is determined in terms of management policies. Exploitation, capital and price variation are controlled through the utilization rate of available capital. A novel feature in this model is that the variation of the capital depends on the income.
Among the many factors that contribute to overexploitation of marine fisheries, the role played b... more Among the many factors that contribute to overexploitation of marine fisheries, the role played by uncertainty is important. This uncertainty includes both the scientific uncertainties related to the resource dynamics and the evolution of its price. Recently, many works advocate for the use of Marine Protected Areas (MPAs) as a central element of future stock management. In this work we investigate and analyse the impacts of the creation of MPAs, in economic sustainability through a bioeconomical model integrating the evolution of the resource price. Equilibria and stability of the model are studied. Also, instead of studying the environmental and economic interactions in terms of optimal control, we focus on the viability of the system. This viability is defined by a set of economic state constraints. This constraints combine a guaranteed consumption and a minimum income for fishermen. Using the mathematical concept of viability kernel, we exhibit how marines reserves might guarant...
A two non-linear dynamic models, first one in two state variables and one control and the second ... more A two non-linear dynamic models, first one in two state variables and one control and the second one with three state variables and one control, are presented for the purpose of finding the optimal combination of exploitation, capital investment and price variation in the commercial fishing industry. This optimal combination is determined in terms of management policies. Exploitation, capital and price variation are controlled through the utilization rate of available capital. A novel feature in this model is that the variation of the capital depends on the income.
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Papers by Chakib Jerry