Geodesic
Efficiency optimization for the cyclic use of a renewable resource
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 2, pp. 38-46

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We consider a periodic impulse harvesting of a renewable resource distributed in a domain of the arithmetic space and obeying the logistic growth low. We prove that for a given harvesting effort there exists an appropriate stationary distribution of the effort in the resource domain providing the maximum efficiency of the harvesting at infinite horizon, where the efficiency is the ratio of the harvesting profit to the total effort applied.
Keywords: renewable resource, logistic low, harvesting effort, cyclic process
Mots-clés : optimal exploitation. 
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     author = {A. Belyakov and A. A. Davydov},
     title = {Efficiency optimization for the cyclic use of a renewable resource},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {38--46},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_2_a4/}
}
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A. Belyakov; A. A. Davydov. Efficiency optimization for the cyclic use of a renewable resource. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 2, pp. 38-46. http://geodesic.mathdoc.fr/item/TIMM_2016_22_2_a4/