On the optimal operation of populations of fishes with age structure
Dalʹnevostočnyj matematičeskij žurnal, Tome 7 (2007) no. 1, pp. 48-61.

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The problem of optimal operation of trade populations of fishes with age structure is considered. The necessary condition of an optimality of operating influence is established. The method of the numerical solving of a considered problem is offered.
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O. I. Il'in. On the optimal operation of populations of fishes with age structure. Dalʹnevostočnyj matematičeskij žurnal, Tome 7 (2007) no. 1, pp. 48-61. http://geodesic.mathdoc.fr/item/DVMG_2007_7_1_a5/

[1] Dinamicheskaya teoriya biologicheskikh populyatsii, ed. R. A. Poluektov, Nauka, M., 1974, 456 pp.

[2] T. K. Sirazetdinov, Optimizatsiya sistem s raspredelennymi parametrami, Nauka, M., 1977, 480 pp. | MR

[3] F. Trikomi, Integralnye uravneniya, Izdatelstvo inostrannoi literatury, M., 1960, 299 pp. | MR

[4] A. G. Butkovskii, Metody upravleniya sistemami s raspredelennymi parametrami, Nauka, M., 1975, 568 pp.

[5] Yu. M. Svirezhev, N. N. Timofeev, “O regulirovanii chislennosti populyatsii s vozrastnoi strukturoi”, Zhurn. obsch. biologii, 41:2 (1980), 200–209

[6] N. N. Timofeev, Nekotorye zadachi optimizatsii v populyatsiyakh i biologicheskikh soobschestvakh, Avtoref. dis. ... kand. fiz.-mat. nauk, Institut fiziki SO AN SSSR, Krasnoyarsk, 1980, 23 pp.

[7] A. I. Abakumov, T. A. Protsenko, “Algoritm poiska optimalnogo rezhima ekspluatatsii populyatsii s vozrastnoi strukturoi”, Mat. fizika i mat. modelirovanie v ekologii, IPM DVO AN SSSR, Vladivostok, 1990, 76–83

[8] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mischenko, Matematicheskaya teoriya optimalnykh protsessov, Gos. izd-vo fiz.-mat. lit., M., 1961, 391 pp. | MR

[9] L. T. Aschepkov, B. V. Velichenko, Optimalnoe upravlenie, DVGU, Vladivostok, 1989, 116 pp.

[10] A. I. Abakumov, Upravlenie i optimizatsiya v modelyakh ekspluatiruemykh populyatsii, Dalnauka, Vladivostok, 1993, 129 pp.

[11] Yu. M. Svirezhev, E. Ya. Elizarov, Matematicheskoe modelirovanie biologicheskikh sistem, Probl. kosmich. biologii, 20, Nauka, M., 1978, 160 pp.

[12] R. F. Fedorenko, Priblizhennoe reshenie zadach optimalnogo upravleniya, Nauka, M., 1978, 488 pp. | MR | Zbl

[13] U. E. Riker, Metody otsenki i interpretatsiya biologicheskikh pokazatelei populyatsii ryb, Pischevaya promyshlennost, M., 1979, 408 pp.

[14] V. P. Maksimenko, N. P. Antonov, “Otsenka estestvennoi smertnosti u morskikh promyslovykh populyatsii ryb kamchatskogo shelfa”, Voprosy rybolovstva, 3(11) (2002), 450–462