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Journal of Automation and Information Sciences
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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v51.i2.20
pages 11-21

Comparative Analysis of the Results of Modeling of Extreme Population Processes for Fish and Insects

Andrey Yu. Perevaryukha
Saint Petersburg Institute for Informatics and Automation of Russian Academy of Sciences, Saint Petersburg (Russia)


Situations of sharp short-term changes in population processes can not be calculated by traditional mathematical models — a system for balance equilibrium. Unstable and short time shifts can not be expressed in terms of asymptotic dynamics — closed limit sets of the trajectory, stable cycles or even chaotic attractors. In our studies, it is carried out computational modeling of practically important scenarios of outbreaks and dangerous invasions related to extreme and transient dynamics. Ecosystems, like organisms, can not last for long in such transitional regimes. Outbreaks of the number of harmful insects in the form of individual peaks but not oscillating regimes have a number of features of threshold development. Unexpectedly, the problem of analysis of outbreaks intersects with the problem of modeling depletion of stocks in the fishery of fish. Rapid degradation of population size in the collapse scenarios could not be predicted in time by the methods of calculating the catch quotas (shown on examples of cod of the North Atlantic and anchovy of Peru), because the rates of restoration of reserves were incorrectly estimated. A key aspect in the methodology for constructing hybrid models is the formalization of nonlinear reproduction efficiency, which varies in a threshold manner. In the article it is proved the advantages of the method of purposeful realization of bifurcations in hybrid systems. It has been carried out the comparative analysis of new model scenarios for extreme situations with similar phases during the collapse of fish stocks and insect outbreaks of pests obtained by modifying functional in the basic hybrid system. Five variants of qualitative behavior of hybrid systems that are important for modeling of biosystems were identified.


  1. Perevaryukha A.Y., Comparative modeling of two especial scenarios of bioresources collapses: Canadian Atlantic cod and Caspian Sea sturgeon, Journal of Automation and Information Sciences, 2017, 49, No. 6, 22–34.

  2. Perevaryukha A.Y., Mathematical model for growth rates of competing organisms for biological species with metamorphoses in ontogenesis, Journal of Automation and Information Sciences, 2017, 49, No. 11, 39–52.

  3. Heger Т., Haider S., Species from different taxonomic groups show similar invasion traits, Immediate Science Ecology, 2015, No. 3, 1–13.

  4. Veshchev P.V., Guteneva G.I., Efficiency of natural reproduction of sturgeons in the lower Volga under current conditions, Russian Journal of Ecology, 2012, 43, No. 2, 142–147.

  5. Ricker W.E., Stock and Recruitment, Journal of the fisheries research board of Canada, 1954, 11, No. 5, 559–623.

  6. Frolov A.N., The beet webworm Loxostege sticticalis 1. (Lepidoptera. Crambidae) in the focus of agricultural entomology objectives: The periodicity of pest outbreaks, Entomological Review, 2015, No. 2, 147–156.

  7. Singer D., Stable orbits and bifurcations of the maps on the interval, SIAM Journal of Applied Math., 1978, 35, 260–268.

  8. Feigenbaum M.J., The transition to aperiodic behavior in turbulent systems, Communications in Mathematical Physics, 1980, 77, No. 1, 65–86.

  9. Idyll C.P., The anchovy crisis, Scientific American, 1973, 228, 22–29.

  10. Barrett R., Population dynamics of the Peruvian anchovy, Mathematical Modelling, 1985, 6, No. 6, 525–548.

  11. Rose G.A., Rowe S., Does redistribution or local growth underpin rebuilding of Canada's Northern cod?, Canadian Journal of Fisheries and Aquatic Sciences, 2018, 75, 825–835.

  12. Clark L.R., The population dynamics of Cardiaspina albitextura (Psyllidae), Aust. J. Zool., 1964, 12, 362–380.

  13. Khodorevskaya R.P., Kalmykov V.A., Formation of populations of Acipenseridae sturgeons in the Volga-Caspian basin, Journal of Ichthyology, 2014, 54, No. 8, 576–583.

  14. Shelton A.O., Mangel M., Estimating von Bertalanffy parameters with individual and environmental variations in growth, Journal of Biological Dynamics, 2012, 6, 3–30.

  15. Guckenheimer J., Sensitive dependence on initial conditions for one dimensional maps, Comm. Mathem. Physics, 1979, 70, 133–160.

  16. Zayats V.M., Construction and analysis of a model of a discrete oscillatory system, Cybernetics and Systems Analysis, 2000, 36, No. 4, 610–613.

  17. Martsenyuk V.P., Andrushchak I.Ye., Zinko P.N., Sverstiuk A.S., On application of latticed differential equations with a delay for immunosensor modeling, Journal of Automation and Information Sciences, 2018, 50, No. 6, 55–65.

  18. Perevaryukha A.Y., A model of development of a spontaneous outbreak of an insect with aperiodic dynamics, Entomological Review, 2015, 95, No. 3, 397–405.

  19. Pourang N., Eslami F., Saravi H., Fazli H., Strong biopollution in the southern Caspian Sea: the combjelly Mnemiopsis leidyi case study, Biological Invasions, 2016, 18, No. 8, 2403–2414.

  20. Ponomarev V.I., Andreeva E.M., Shatalin N.V., Group effect in the gypsy moth (Lymantria dispar, Lepidoptera, Lymantriidae) related to the population characteristics and food composition, Entomological Review, 2009, 89, No. 3, 257–263.

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