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Planktons discrete -time dynamical systems.
- Source :
-
Nonlinear Studies . 2021, Vol. 28 Issue 2, p585-600. 16p. - Publication Year :
- 2021
-
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]
Details
- Language :
- English
- ISSN :
- 13598678
- Volume :
- 28
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Nonlinear Studies
- Publication Type :
- Academic Journal
- Accession number :
- 150837441