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- Title
Planktons discrete -time dynamical systems.
- Authors
Rozikov, U. A.; Shoyimardonov, S. K.; Varro, R.
- 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.
- Subjects
DYNAMICAL systems; NONLINEAR operators; DISCRETE-time systems; VOLTERRA operators; PLANKTON; ZOOPLANKTON; MARINE zooplankton
- Publication
Nonlinear Studies, 2021, Vol 28, Issue 2, p585
- ISSN
1359-8678
- Publication type
Article