Geodesic
Optimization of a craft for a population at a periodic modification of exterior conditions
Dalʹnevostočnyj matematičeskij žurnal, Tome 4 (2003) no. 2, pp. 304-315 
E. D. Emtseva; E. Ya. Frisman. Optimization of a craft for a population at a periodic modification of exterior conditions. Dalʹnevostočnyj matematičeskij žurnal, Tome 4 (2003) no. 2, pp. 304-315. http://geodesic.mathdoc.fr/item/DVMG_2003_4_2_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of optimization of a periodically equilibrium craft is solved in the given article. The necessary and sufficient conditions of existence of maximum periodic counterbalanced extraction are described. The proposed strategy include variable and constant part of extraction. The results are verified for generalized Ricker model with two periods of generation.

[1] A. I. Abakumov, Upravlenie i optimizatsiya v modelyakh ekspluatiruemykh populyatsii, Dalnauka, Vladivostok, 1992, 124 pp.

[2] A. A. Gimelfart, A. R. Ginzburg, R. A. Poluektov i dr., Dinamicheskaya teoriya biologicheskikh populyatsii, ed. R. A. Poluektov, Nauka, Moskva, 1974, 456 pp.

[3] E. I. Skaletskaya, “Optimalnaya strategiya upravleniya ekspluatiruemoi populyatsiei s tsiklicheski menyayuschimsya parametrom”, Matematicheskoe modelirovanie v populyatsionnoi ekologii, DVNTs AN SSSR, Vladivostok, 1985, 72–80 pp.

[4] E. I. Skaletskaya, E. Ya. Frisman, A. P. Shapiro, Diskretnye modeli dinamiki chislennosti i optimizatsiya promysla, Nauka, Moskva, 1979, 166 pp. | MR

[5] E. Ya. Frisman, S. P. Luppov, E. V. Ashikhmina, “Matematicheskaya model dinamiki chislennosti lokalnoi populyatsii, podverzhennoi sezonnomu promyslu”, Matematicheskoe modelirovanie v populyatsionnoi ekologii, DVNTs AN SSSR, Vladivostok, 1985, 72–80

[6] Kh. Takha, Vvedenie v issledovanie operatsii, v. 2, Mir, Moskva, 1985, 496 pp. | MR