American Review of Mathematics and Statistics

Multitype Branching Process as Model for Phytoplankton Population and Chlorophyll-a Contained Therein
A.Terzieva, G. Terziev

Abstract
The purpose of this research is to model a phytoplankton population localized to a particular geographical longitude, latitude and depth and try to draw conclusions about its evolution. After a random period of time  the origination particle, phytoplankton cell, provides generation or dies. We propose model, describing the dynamics of population through multitype branching stochastic processes of Bellman-Harris. Concrete results for the expectation and asymptotic behaviour of the mean number of cells are obtained.

Full Text: PDF     DOI: 10.15640/arms.v3n1a10