Global stability for a model of competition in the chemostat with microbial inputs
نویسندگان
چکیده
منابع مشابه
Global Stability for a Model of Competition in the Chemostat with Microbial Inputs
We propose a model of competition of n species in a chemostat, with constant input of some species. We mainly emphasize the case that can lead to coexistence in the chemostat in a non-trivial way, i.e., where the n − 1 less competitive species are in the input. We prove that if the inputs satisfy a constraint, the coexistence between the species is obtained in the form of a globally asymptotica...
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Freedman and Xu [J. Math. Biol., 31 (1993), pp. 513–527] proposed two chemostattype competition models with nutrient recycling. In the first model the recycling is instantaneous, whereas in the second, the recycling is delayed. They carried out the equilibrium analysis and obtained persistence criteria for the models. In this paper, by applying the method of Liapunov functionals we study the gl...
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Global Stability in a Well Known Delayed Chemostat Model
In this paper, we consider the global stability problem for the well known delayed chemostat model introduced and studied by Freedman, So and Waltman(1989). The difficulty of studying this open problem is that this delayed system has no negative feedback in the microbial populations. By a novel way of constructing a proper Liapunov functional and explicit estimates of eventual upper and lower b...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2012
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2011.07.049