Русская версия English version   
Том 12   Выпуск 2   Год 2017
Неверова Галина Петровна, Абакумов Александр Иванович, Фрисман Ефим Яковлевич

Режимы динамики лимитированной структурированной популяции при избирательном промысле

Математическая биология и биоинформатика. 2017;12(2):327-342.

doi: 10.17537/2017.12.327.

Список литературы

 

  1. Meisner V.I. Rybnoe khoziaistvo (Fisheries). 1923;4:3-28 (in Russ.).
  2. Beverton R.J.H. On the dynamics of exploited fish populations. On the Dynamics of Exploited Fish Populations. London: H.M. Stationery Off.; 1957. 533 p. (Great Britain. Ministry of Agriculture, Fisheries and Food. Fishery investigations, Series 2; v. 19).
  3. Beddington J.R., Taylor D.B. Optimal age specific harvesting of a population. Biometrics. 1973;29:801-809. doi: 10.2307/2529145
  4. Caughley G. Analiz populiatsii pozvonochnykh. Moscow; 1979. 362 p. (Translation of: Caughley G. Analysis of Vertebrate Populations. John Wiley and Sons; 1977)
  5. Berryman A.A. Principles of population dynamics and their application. Cheltenham, U.K.: Stanley Thornes, 1999. 243 p.
  6. Frisman E.Ya., Last E.V. Nonlinear Effects on Population Dynamics Related to Age Structure and Fishery Impact. Biology bulletin. 2005;32(5):425-437. doi: 10.1007/s10525-005-0120-4
  7. Clark C.W. Mathematical bioeconomics. The Mathematics of conservation. New Jersey: J. Wiley and Sons Publ.; 2010.
  8. Pham C.K., Isidro E. Experimental harvesting of juvenile common octopus Octopus vulgaris, for commercial ongrowing in the Azores. ARQUIPÉLAGO. Life and Marine Sciences. 2010;27:41-47.
  9. Milner J.M., Bonenfant C., Mysterud A. Hunting Bambi-evaluating the basis for selective harvesting of juveniles. European Journal of Wildlife Research. 2011;57(3):565-574. doi: 10.1007/s10344-010-0466-x
  10. Zhdanova O.L., Frisman E.Ya. The Effect of Optimal Harvesting on the Dynamics of Size and Genetic Composition of a Two-Age Population. Biology Bulletin. 2014;41(2):176-186. doi: 10.1134/S1062359013060162
  11. Zhdanova O.L., Frisman E.Ya. Model analysis of an optimal harvest effect on evolution of population with two age classes. Information Science and Control Systems. 2014;2(40):12-21 (in Russ.).
  12. Abakumov A.I., Izrailsky Yu.G. The harvesting effect on a fish population. Mathematical Biology and Bioinformatics. 2016;11(2):191-204 (in Russ.). doi: 10.17537/2016.11.191
  13. Abakumov A.I. Upravlenie i optimizatsiia v modeliakh ekspluatiruemykh populiatsii (Management and optimization in the models of exploited populations). Vladivostok; 1993. 129 p. (in Russ.).
  14. Mazalov V.V., Rettieva A.N. A fishery game model with migration: reserved territory approach. Mathematics, Game Theory and Algebra Compendium. 2009;1:283-299.
  15. Abakumov A.I., Il'in O.I., Ivanko N.S. Game problems of harvesting in a biological community. Automation and Remote Control. Mathematical Game Theory and Applications. 2016;77(4):697-707.
  16. Langvatn R., Loison A. Consequences of harvesting on age structure, sex ratio and population dynamics of red deer Cervus elaphus in central Norway. Wildlife Biology. 1999;5(4):213-223.
  17. Murphy M.D., Crabtree R.E. Changes in the age structure of nearshore adult red drum off west-central Florida related to recruitment and fishing mortality. North American Journal of Fisheries Management. 2001;21(3):671-678. doi: 10.1577/1548-8675(2001)021<0671:CITASO>2.0.CO;2
  18. Marboutin E., Bray Y., Péroux R., Mauvy B., Lartiges A. Population dynamics in European hare: breeding parameters and sustainable harvest rates. Journal of Applied Ecology. 2003;40(3):580-591. doi: 10.1046/j.1365-2664.2003.00813.x
  19. Revutskaya O.L., Frisman E.Ya. Influence of stationary harvesting on development of a two-age population scenario. Information Science and Control Systems. 2017;3(53):36-48 (in Russ.).
  20. Wikström A., Ripa J., Jonzén N. The role of harvesting in age-structured populations: disentangling dynamic and age truncation effects. Theoretical population biology. 2012;82(4):348-354. doi: 10.1016/j.tpb.2011.12.008
  21. Neverova G.P., Abakumov A.I., Frisman E.Ya. Dynamic modes of exploited limited population: results of modeling and numerical study. Mathematical Biology and Bioinformatics. 2016;11(1):1-13 (in Russ.). doi: 10.17537/2016.11.1
  22. Skaletskaia E.I., Frisman E.Ia., Shapiro A.P. Diskretnye modeli dinamiki chislennosti populiatsii i optimizatsiia promysla (Discrete models of population dynamics and optimization of fishery). Moscow; 1979. 165 p. (in Russ.).
  23. Srinivasu P.D.N., Ismail S., Naidu C.R. Global dynamics and controllability of a harvested prey-predator system. Journal of Biological Systems. 2001;9(0)1:67-79.
  24. Braumann C.A. Variable effort harvesting models in random environments: generalization to density-dependent noise intensities. Mathematical biosciences. 2002;177:229-245. doi: 10.1016/S0025-5564(01)00110-9
  25. Revutskaya O., Frisman E. Instability of the Exploited Population with a Simple Age Structure. In: Proceedings of Sixth Biennial Meeting International Congress on Environmental Modelling and Software. Managing Resources of a Limited Planet. 2012.
  26. Larkin P.A. An epitaph for the concept of maximum sustained yield. Transactions of the American fisheries society. 1977;106(1):1-11. doi: 10.1577/1548-8659(1977)106<1:AEFTCO>2.0.CO;2
  27. Hilborn R. Do principles for conservation help managers? Ecological Applications. 1996;6(2):364-365. doi: 10.2307/2269371
  28. Hilborn R., Mangel M. The ecological detective: confronting models with data. V. 28. Princeton University Press; 1997. 315 p.
  29. Ludwig D., Hilborn R., Walters C. Uncertainty, resource exploitation, and conservation: lessons from history. Ecological Applications. 1993;3(4):547-549. doi: 10.1126/science.260.5104.17
  30. Finley C. All the fish in the sea: maximum sustainable yield and the failure of fisheries management. University of Chicago Press; 2011. 224 p. doi: 10.7208/chicago/9780226249681.001.0001
  31. Brauer F., Soudack A.C. Stability regions and transition phenomena for harvested predator-prey systems. Journal of Mathematical Biology. 1979;7(4):319-337. doi: 10.1007/BF00275152
  32. Brauer F., Soudack A. C. Stability regions in predator-prey systems with constant-rate prey harvesting. Journal of Mathematical Biology. 1979;8(1):55-71. doi: 10.1007/BF00280586
  33. Fryxell J.M., Packer C., McCann K., Solberg E.J., Sæther B.E.. Resource management cycles and the sustainability of harvested wildlife populations. Science. 2010;328(980):903-906. doi: 10.1126/science.1185802
  34. Anita S. Analysis and control of age-dependent population dynamics. Dordrecht: Kluwer Academic Publishers; 2000. 200 p. doi: 10.1007/978-94-015-9436-3
  35. Frisman E.Y., Neverova G.P., Kulakov M.P. Change of dynamic regimes in the population of species with short life cycles: Results of an analytical and numerical study. Ecological Complexity. 2016;27:2-11. doi: 10.1016/j.ecocom.2016.02.001
  36. Neverova G.P., Yarovenko I.P., Frisman E.Y. Dynamics of populations with delayed density dependent birth rate regulation. Ecological Modelling. 2016;340(24):64-73. doi: 10.1016/j.ecolmodel.2016.09.005
  37. Lande R., Saether B.-E., Engen S. Threshold harvesting for sustainability of fluctuating resources. Ecology. 1997;78:1341-1350. doi: 10.1890/0012-9658(1997)078[1341:THFSOF]2.0.CO;2
  38. Idels L.V., Wang M. Harvesting fisheries management strategies with modified effort function. International Journal of Modelling, Identification and Control. 2008;3(1):83-87. doi: 10.1504/IJMIC.2008.018188
  39. Frisman E.Ya., Neverova G.P., Revutskaya O.L., Kulakov M.P. Dynamic modes of two-age population model. Izvestiya VUZ. Applied Nonlinear Dynamics. 2010;18(2):111-130 (in Russ.).
  40. Frisman E.Ya., Neverova G.P., Revutskaya O.L. Complex dynamics of the population with a simple age structure. Ecological Modelling. 2011;222:1943-1950. doi: 10.1016/j.ecolmodel.2011.03.043
  41. Svetochev V.N., Prishchemikhin V.F. Sovremennye problemy prirodopol'zovaniia, okhotovedeniia i zverovodstva (Recent Problems of Nature Use, Game Management and Fur Farming). 2007;1:383-384 (in Russ.).
  42. Fisheries and Oceans Canada: Statistics on the seal harvest. http://www.dfo-mpo.gc.ca/fm-gp/seal-phoque/seal-stats-phoques-eng.htm (accessed 15 June 2017).
  43. Skaletskaia E.I., Frisman E.Ia. In: Matematicheskoe modelirovanie v populiatsionnykh issledovaniiakh (Mathematical modeling in population studies). Vladivostok; 1990. P. 75-80 (in Russ.).
  44. Monakhov V. G. In: Kolichestvennye metody v ekologii pozvonochnykh (Quantitative methods in the ecology of vertebrates). Sverdlovsk; 1983. P. 29-37 (in Russ.).
  45. Asinovskii A.I. Printsipy otstrela kabana kak sredstvo sokhraneniia vida (Principles of boar shooting as a mean of species concervation). http://www.rors.ru/ru/activity/trofei/selekcia/ (accessed 15 June 2017) (in Russ.).
  46. Kuznetsov A.P., Sedova J.V. Bifurcations of three-and four-dimensional maps: Universal properties. Izvestiya VUZ. Applied Nonlinear Dynamics. 2012;20(5):26-43 (in Russ.).
  47. Abakumov A.I., Bosharov L.N., Karedin E.P., Reshetnjak T.M. The modelling analysis and prospective results of optimization of multispecific fishery in of waters by Kamchatka. Problems of Fisheries. 2007;8(1):93-109 (in Russ.).
  48. Pravila okhoty 2017 v Rossii – Izmeneniia v Pravilakh Okhoty RF (Hunting rules for 2017 in Russia - Changes in Russian Federation Hunting Rules. http://www.nexplorer.ru/pravila_ohoty.html (accessed 15 June 2017) (in Russ.).
  49. Danilkin A.A. Biologicheskie osnovy okhotnich'ego trofeinogo dela (Biological basis of hunting trophy business). Moscow; 2010 (in Russ.).
  50. Cid B., Hilker F. M., Liz E. Harvest timing and its population dynamic consequences in a discrete single-species model. Mathematical Biosciences. 2014;248:78-87. doi: 10.1016/j.mbs.2013.12.003
  51. Naumenko N.I. Biologiia i promysel morskikh sel'dei Dal'nego Vostoka (Biology and fishery of the Far East sea herrings): Doctoral dissertation. 2000 (in Russ.).
  52. Frisman E.Ya., Neverova G.P., Kulakov M.P., Zhigalskii O.A. Multimode Phenomenon in the Population Dynamics of Animals with Short Live Cycles. Doklady Biological Sciences. 2015;460:42-47. doi: 10.1134/S0012496615010111
  53. Ashikhmina E.V., Izrailsky Yu.G., Frisman E.Ya. Harvest optimization for Rikker's population, when environment parameters limiting population growth change cyclically. Dal'nevost. Mat. Zh. 2003;4(1):127-133 (in Russ.).
  54. Ashikhmina E.V, Izrailsky Yu.G. Harvest optimization for population, when environment conditions limiting population growth change cyclically. Information Science and Control Systems. 2009;2:11-18 (in Russ.).
Содержание Оригинальная статья
Мат. биол. и биоинф.
2017;12(2):327-342
doi: 10.17537/2017.12.327
опубликована на рус. яз.

Аннотация (рус.)
Аннотация (англ.)
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Список литературы

 

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