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Numerical research of the chemostat model for the single-nutrient competition
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Date
2013Publisher
University of PodlasieCitation
Chichurin, A. Numerical research of the chemostat model for the single-nutrient competition / A. Chichurin, H. Shvychkina // Computer Algebra Systems in Teaching and Research : proc. of the 7th International Workshop CASTR’2013, Siedlce, Poland, 22−25 Sep. 2013 / University of Podlasie ; Eds.: M. Jakubiak [and others]. – Siedlce, 2013. – Vol. 4, № 1. – P. 130–134.Abstract
The continuous culture of micro-organisms using the chemostat is an important
research technique in microbiology and population biology. We consider here chemostat model
for the single-nutrient competition. For the model we find the solution when the parametric
relation a1 = a2 is observed. It is to be proved that integration of the original system of the
differential equations of the third order is reduced to integration of the differential equation of
the first order. By performing a numeric integration we can find the solution to the model
considered. The program module is built which allows visualizing the solutions for the concrete
values of parameters changing in the set intervals.
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