Geodesic
Optimal states of distributed exploited populations with periodic impulse selection
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 2, pp. 99-107

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The dynamics of a population distributed on a torus is described by an equation of the Kolmogorov–Petrovsky–Piskunov–Fisher type in the divergence form. The population is exploited by periodic sampling of a constant distributed measurable ratio of its density. We prove that there exists a sampling ratio maximizing the time-averaged income in kind, i.e., a ratio that provides an optimal stationary exploitation in the long run.
Keywords: distributed population, Kolmogorov–Petrovsky–Piskunov–Fisher equation, impulse control
Mots-clés : optimal solution. 
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     author = {A. A. Davydov and D. A. Melnik},
     title = {Optimal states of distributed exploited populations with periodic impulse selection},
     journal = {Trudy Instituta matematiki i mehaniki},
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     publisher = {mathdoc},
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     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2021_27_2_a7/}
}
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A. A. Davydov; D. A. Melnik. Optimal states of distributed exploited populations with periodic impulse selection. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 2, pp. 99-107. http://geodesic.mathdoc.fr/item/TIMM_2021_27_2_a7/