Global Stability in a Well Known Delayed Chemostat Model
نویسندگان
چکیده
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 bounds of solutions, we show that for small delay(which can be explicitly estimated), the positive steady state remains globally stable.
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