Open AccessAn Analysis of Microbial Population of Chemostat Model in Fuzzy Environment
Author(s) -
Harish Chandra Bhandari,
Kanhaıya Jha
Publication year - 2019
Publication title -
the nepali mathematical sciences report
Language(s) - English
Resource type - Journals
ISSN - 2392-411X
DOI - 10.3126/nmsr.v36i1-2.29965
Subject(s) - chemostat , fuzzy logic , stability (learning theory) , population , continuous stirred tank reactor , control theory (sociology) , mathematics , biochemical engineering , computer science , mathematical optimization , engineering , biology , artificial intelligence , control (management) , genetics , demography , machine learning , sociology , chemical engineering , bacteria
Chemostat is a continuous stirred tank reactor used for continuous microbial biomass production in commercial, medical and other research problems. While modeling real world phenomena through differential equations as backbone of practical problems, we need to introduce various parameters. These parameters may be vague, imprecise and uncertain. To incorporate these uncertainties, the notion of fuzzy differential equations is used in chemostat model as one of the tool. In this paper, we discuss some new results for the stability analysis of chemostat model and the results so obtained are justifiable analytically and verified graphically in fuzzy environment.