Global dynamic of a mathematical model of competition in the chemostat
M. S. Zaki
Abstract
M. S. Zaki
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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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