Model biological population by branching processes

Authors

  • Antoanela Terzieva Sofia University "St. Kliment Ohridski"

DOI:

https://doi.org/10.11145/bmc.2017.01.161

Abstract

Consider a population of two or more different types of cells that at the end of life create two new cells through cell division. We model the population dynamics using a multitype branching stochastic processes. Under consideration are processes of Bieneme-Galton-Watson and of Bellman-Harris for the Markovian case. В  drawn Conclusions about the expected number of particles of each type after a random time are drawn. The proposed models could be applicable not only for populations of a unicellular organisms, but also for sets of objects which operate a certain period of time and then split into two new objects or change their type.

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Published

2017-03-21

Issue

Vol. 3 No. 2 (2016)

Section

Articles

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