1. Planktons discrete -time dynamical systems.
- Author
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Rozikov, U. A., Shoyimardonov, S. K., and Varro, R.
- Subjects
- *
DYNAMICAL systems , *NONLINEAR operators , *DISCRETE-time systems , *VOLTERRA operators , *PLANKTON , *ZOOPLANKTON , *MARINE zooplankton - Abstract
In this paper, we initiate the study of a discrete-time dynamical system modeling a trophic network connecting three types of plankton (phytoplankton, zooplankton, mixoplankton) and bacteria. The nonlinear operator V associated with this dynamical system is of type 4-Volterra quadratic stochastic operator with twelve parameters. We give conditions on the parameters under which this operator maps the five-dimensional standard simplex to itself and we find its fixed points. Moreover, we study the limit points of trajectories for this operator. For each situations we give some biological interpretations. [ABSTRACT FROM AUTHOR]
- Published
- 2021