Moment approximation of individual-based models. Application to the study of the spatial dynamics of phytoplankton populations

Naziha Bordj and Nadjia El Saadi

Applied Mathematics and Computation, 2022, vol. 412, issue C

Abstract: The objective of this paper is to analyze the efficiency of a spatial moments model (SMM) in approximating an individual-based model (IBM) dedicated to the study of the aggregation phenomenon in a phytoplankton population. The dynamic system of spatial moments consists of a system of integro-differential equations derived from a phytoplankton IBM. The later is built on the basis of stochastic processes describing the dynamics of phytoplankton cells and their interactions. These processes are: (1) the movement of cells, which takes into account the random dispersion of cells in water and the attraction between cells due to their chemosensory abilities, (2) the demographical process (cell division or cell death) in which, the effect of local competition for nutrient resources on the cell’s division process is taken into account through the use of density dependent division rate.

Keywords: Phytoplankton aggregation; Population dynamics; Chemosensory capabilities; Individual-based model; Density-dependent division process; Spatial moment dynamics; Integro-differential equations system; Pair correlation function (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006780

DOI: 10.1016/j.amc.2021.126594

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