NPZ-model with seasonal variability of plankton population dynamics

In this paper we include seasonal variability in the NPZ-model of a population of phytoplankton. For the space discretization of the governing equations we employ the complete flux scheme. A stability analysis of the fully discrete scheme is presented. A new boundary condition, based on the complete flux scheme, is introduced. Numerical results show good agreement with previous results in literature.

[1]  Wolfgang Barkmann,et al.  Stability and predictability of a virtual plankton ecosystem created with an individual-based model , 2005 .

[2]  ten Jhm Jan Thije Boonkkamp,et al.  Extension of the complete flux scheme to time-dependent conservation laws , 2010 .

[3]  H. I. Freedman.  Deterministic mathematical models in population ecology , 1982 .

[4]  D. Lewis.  A simple model of plankton population dynamics coupled with a LES of the surface mixed layer. , 2005, Journal of theoretical biology.

[5]  J. H. M. ten Thije Boonkkamp,et al.  The Finite Volume-Complete Flux Scheme for Advection-Diffusion-Reaction Equations , 2011, J. Sci. Comput..

[6]  U. Feudel,et al.  Bloom dynamics in a seasonally forced phytoplankton-zooplankton model: Trigger mechanisms and timing effects , 2006 .

[7]  N. N. Pham Thi.  On positive solutions in a phytoplankton-nutrient model , 2004 .

[8]  G. M.,et al.  Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[9]  A. Goffart,et al.  One-dimensional modelling of the plankton ecosystem of the north-western Corsican coastal area in relation to meteorological constraints , 2001 .

[10]  N. N. Pham Thi,et al.  Simulation of three-dimensional phytoplankton dynamics: comptetion in light-limited environments , 2005 .

[11]  Ovide Arino,et al.  A mathematical model of the dynamics of the phytoplankton-nutrient system , 2000 .

[12]  G. Jayaraman,et al.  Mathematical modelling of the seasonal variability of plankton in a shallow lagoon , 2008 .

[13]  Enrico Zambianchi,et al.  A hybrid approach to transport processes in the Gulf of Naples: an application to phytoplankton and zooplankton population dynamics , 2005 .

[14]  A. Larsson.  The role of mixing in an Antarctic ocean ecosystem: observations and model computations of vertical distributions of related parameters , 2004 .

[15]  C. Troupin,et al.  Seasonal variability of the oceanic upper layer and its modulation of biological cycles in the Canary Island region , 2010 .

[16]  A. Rocha,et al.  Modelling the temperature and the phytoplankton distributions at the Aveiro near coastal zone, Portugal , 2009 .