کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501567 | 1338751 | 2005 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exclusion and persistence in deterministic and stochastic chemostat models
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Exclusion and persistence in deterministic and stochastic chemostat models Exclusion and persistence in deterministic and stochastic chemostat models](/preview/png/9501567.png)
چکیده انگلیسی
We first introduce and analyze a variant of the deterministic single-substrate chemostat model. In this model, microbe removal and growth rates depend on biomass concentration, with removal terms increasing faster than growth terms. Using a comparison principle we show that persistence of all species is possible in this scenario. Then we turn to modelling the influence of random fluctuations by setting up and analyzing a stochastic differential equation. In particular, we show that random effects may lead to extinction in scenarios where the deterministic model predicts persistence. On the other hand, we also establish some stochastic persistence results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 217, Issue 1, 1 October 2005, Pages 26-53
Journal: Journal of Differential Equations - Volume 217, Issue 1, 1 October 2005, Pages 26-53
نویسندگان
L. Imhof, S. Walcher,