Modelling aquatic communities: Trophic interactions andthe body mass-and-age structure of sh populations giverise to long-period variations in sh population sizeRuss. J. Numer. Anal. Math. Modelling 2015; 30 (1):55–70статья
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Аннотация:We present a mathematical model of an aquatic community, which includes zooplankton and sh
reproduction, and age-weight-structured trophic relationships. We show that interactions between separate components of the aquatic community can give rise to long-period oscillations in sh population size. The period of these oscillations is on the order of decades. We show that predatory sh can be an element, which gives rise to the long-period oscillations. With this model we also show that an increase in the zooplankton growth rate may entail a sequence of bifurcations in the sh population dynamics: steady states → regular oscillations → quasicycles → dynamic chaos. Since aquatic, and in particular, lake ecosystems are spatially heterogeneous, they are often considered as consisting of separate habitats, which are distinguished by their hydrophysical and ecological characteristics. We show that interhabitat sh migration can lead to dramatic changes in the sh population dynamics. In particular, the sh migration can destabilize both stationary states and chaotic regimes giving rise to regular and quasiregular oscillations in the sh population size.