Русская версия English version   
Том 11   Выпуск 1   Год 2016
Неверова Г.П., Абакумов А.И., Фрисман Е.Я.

Влияние промыслового изъятия на режимы динамики лимитированной популяции: результаты моделирования и численного исследования

Математическая биология и биоинформатика. 2016;11(1):1-13.

doi: 10.17537/2016.11.1.

Список литературы

 

  1. 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 Industry). Moscow; 1979. 165 p. (in Russ.).
  2. Abakumov A.I. Control and Optimization in the Models of Experimental Populations. Vladivostok; 1993. 129 p. (in Russ.).
  3. Abakumov A.I. Optimum harvesting in population models. Survey of Applied and Industrial Mathematics. 1994;1(6):834-849 (in Russ.).
  4. Tyutyunov Yu.V., Dombrovsky Yu.A., Obushchenko, N.I. Optimal control of exploited population with minimization of its extinction risk under environmental stochasticity. Surveys of Applied and Industrial Mathematics. 1996;3(3):412-433 (in Russ.).
  5. Srinivasu P.D.N., Ismail S. Global dynamics and controllability of a harvested prey-predator system. Journal of Biological Systems. 2001;9(1):67-79. doi: 10.1142/S0218339001000311
  6. Braumann C.A. Variable effort harvesting models in random environments: generalization to density-dependent noise intensities. Mathematical Biosciences. 2002;177-178:229-245. doi: 10.1016/S0025-5564(01)00110-9
  7. Frisman E.Ya., Last E.V. Nonlinear effects on population dynamics related to age structure and fishery impact. Biology Bulletin. 2005;35(5):425-437. doi: 10.1007/s10525-005-0120-4
  8. Zhdanova O.l., Kolbina E.A., Frisman E.Ya. Effect of harvesting on the genetic diversity and dynamic behavior of a Mendelian limited population. Doklady Akademii nauk (Proceedings of Russian Academy of Sciences). 2007;412(4):564-567 (in Russ.).
  9. Il'in O.I. On the optimal operation of populations of fishes with age structure. Siberian Journal of Industrial Mathematics. 2007;10(3):43-57 (in Russ.).
  10. Abakumov A.I., Iljin O.I., Ivanko N.S. Game problems of the harvesting for a biological community. Mathematical Game Theory and Applications. 2011;3(2):3-17 (in Russ.).
  11. Abakumov A.I. Optimal control for the population with distributed parameters. Information Science and Control Systems. 2011;3:3-9 (in Russ.).
  12. Rojas-Palma A., González-Olivares E. Optimal harvesting in a predator-prey model with Allee effect and sigmoid functional response. Applied Mathematical Modelling. 2012;36:1864-1874. doi: 10.1016/j.apm.2011.07.081
  13. 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
  14. Saucedo-Solorio J.M, Pisarchik A.N., Aboites V. Shift of critical points in the parametrically modulated Hénon map with coexisting attractors. Physics Letters A. 2002;304:21-29. doi: 10.1016/S0375-9601(02)01349-X
  15. Pisarchik A.N., Feudel U. Control of multistability. Physics Reports. 2014;540:167-218. doi: 10.1016/j.physrep.2014.02.007
  16. Frisman E.Ya., Neverova G.P., Kulakov M.P., Zhigalskii O.A. Changing the dynamic modes in populations with short life cycle: Mathematical modeling and simulation. Mathematical Biology and Bioinformatics. 2014;9(2):414-429 (in Russ.).  doi: 10.17537/2014.9.414
  17. 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
  18. Shapiro AP. In: Issledovaniia po matematicheskoi populiatsionnoi ekologii (Investigations in Mathematical Population Ecology). Vladivostok; 1983. P. 3-17 (in Russ.).
  19. Frisman E.Ya., Luppov S.P., Skokova I.N., Tuzinkevich A.V. Complex modes of population number dynamics with two age classes. In: Mathematical Investigations in Population Ecology. Vladivostok; 1988. P. 4-18 (in Russ.).
  20. Frisman E.Ya. Strange attractors in the simple models of dynamics of populations with age structure. Doklady Rossiiskoi akademii nauk (Proceedings of Russian Academy of Sciences). 1994;338(2):282-286 (in Russ.).
  21. 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.).
  22. 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
  23. Ricker W.E. Stock and recruitment. J. Fish. Res. Board of Canada. 1954;11(5):559-623. doi: 10.1139/f54-039
Содержание Оригинальная статья
Мат. биол. и биоинф.
2016;11(1):1-13
doi: 10.17537/2016.11.1
опубликована на рус. яз.

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Аннотация (англ.)
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