Competitive Exclusion for Chemostat Equations with Variable Yields
نویسندگان
چکیده
منابع مشابه
Competitive Exclusion for Chemostat Equations with Variable Yields
In this paper, we study the global dynamics of a chemostat model with a single nutrient and several competing species. Growth rates are not required to be proportional to food uptakes. Our approach is based on the construction of Lyapunov functions. The Lyapunov functions extend those used by Hsu [SIAM J. Appl. Math. (1978) 34:760-763] and by Wolkowicz and Lu [SIAM J. Appl. Math. (1992) 57:1019...
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In this paper, we consider a competition model between n species in a chemostat including both monotone and non-monotone response functions, distinct removal rates and variable yields. We show that only the species with the lowest break-even concentration survives, provided that additional technical conditions on the growth functions and yields are satisfied. LaSalle’s extension theorem of the ...
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We give an new proof of the well-known competitive exclusion principle in the chemostat model with n species competing for a single resource, for any set of increasing growth functions. The proof is constructed by induction on the number of the species, after being ordered. It uses elementary analysis and comparisons of solutions of ordinary differential equations.
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ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 2012
ISSN: 0167-8019,1572-9036
DOI: 10.1007/s10440-012-9761-8