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Long-period endogenous oscillations in fish population size: Mathematical modeling
Authors:A E Bobyrev  V A Burmensky  E A Kriksunov  A B Medvinsky  N I Nurieva  A V Rusakov
Institution:17657. Severtsov Institute of Ecology and Evolution, Russian Academy of Sciences, Moscow, 119071, Russia
27657. Biological Faculty, Moscow State University, Moscow, 119991, Russia
37657. Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Moscow, Russia
47657. Pushchino State Institute of Natural Sciences, Pushchino, Moscow Region, 142290, Russia
Abstract:We present a mathematical model of an aquatic community, where the size-and-age structure of hydrobiont populations is taken into account and the corresponding trophic interactions between zooplankton, peaceful fish, and predatory fish are described. We show that interactions between separate components of the aquatic community can give rise to long-period oscillations in fish population size. The period of these oscillations is on the order of decades. With this model we also show that an increase in the zooplankton growth rate may entail a sequence of bifurcations in the fish population dynamics: steady states → regular oscillations → quasicycles → dynamic chaos.
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