2007•International Journal of the Physical SciencesOpen access

Global dynamic of a mathematical model of competition in the chemostat

M. S. Zaki

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Abstract

The purpose of this paper is to offer a complete global analysis of the behavior of solutions of either the variable - yield two microbial growths, limited by a single scare nutrient, or of competition between two microbial populations for a single limiting nutrient. Basically, we confirm that the variable - yield models make the same predictions concerning the growth of asingle population and concerning by out come of competition between two microbial populations, as the simpler constant - yield models.   Key words: Chemostat, global stability, population dynamics, and equilibria.

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What this paper is about

The purpose of this paper is to offer a complete global analysis of the behavior of solutions of either the variable - yield two microbial growths, limited by a single scare nutrient, or of competition between two microbial populations for a single limiting nutrient. Basically, we confirm that the variable - yield models make the same predictions concerning the growth of asingle population and concerning by out come of competition between two microbial populations, as the simpler constant - yield models.   Key words: Chemostat, global stability, population dynamics, and equilibria.

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Available abstract

The purpose of this paper is to offer a complete global analysis of the behavior of solutions of either the variable - yield two microbial growths, limited by a single scare nutrient, or of competition between two microbial populations for a single limiting nutrient. Basically, we confirm that the variable - yield models make the same predictions concerning the growth of asingle population and concerning by out come of competition between two microbial populations, as the simpler constant - yield models.   Key words: Chemostat, global stability, population dynamics, and equilibria.

Key concepts: Chemostat, Competition (biology), Yield (engineering), Variable (mathematics), Limiting, Stability (learning theory), Constant (computer programming), Population

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