@article {10.3844/jmssp.2016.213.224,
article_type = {journal},
title = {Bifurcation and Stability Analysis of a Food Web in a Chemostat},
author = {Rana, S.M. Sohel},
volume = {12},
year = {2016},
month = {Oct},
pages = {213-224},
doi = {10.3844/jmssp.2016.213.224},
url = {https://thescipub.com/abstract/jmssp.2016.213.224},
abstract = {In this study, a classical model describing a food web in a chemostat involving three species competing for non-reproducing, growth rate-limiting nutrient in which one of the competitors predates on one of the other competitors is considered. Quantitative analyses of non-negativity and boundedness of solution trajectories, dissipativity, behavior around equilibria, global stability and persistence of the model equations are analyzed. We present the global stability of equilibria by constructing a Lyapunov function. Hopf bifurcation theory is applied.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}