Proceedings of The International Conference "Mathematical Biology and Bioinformatics"

On the Mathematical Modeling of the Evolutionary Processes in the Microbial World

Y. M. Aponin, E. A. Aponina

Institute of Mathematical Problems of Biology RAS, Pushchino, Russia

Abstract: The paper discusses the concept of the microbial world as fundamental, relative solitary and quick-evolving a subsystem of the biosphere. A generalized mathematical model of the microbial evolution under continuous-flow conditions is considered. The method of parametric and phase portraits is used for investigation of some special cases of this generalized model.

Key words: evolution of microbial populations, mathematical model, ordinary differential equations, microbial world, cultivation in a chemostat.

UDC: 576.8:577.3

Received 20.05.2013, Published 30.06.2013