TY  - JOUR
AU  - Rana, S.M. Sohel 
PY  - 2016
TI  - Bifurcation and Stability Analysis of a Food Web in a Chemostat
JF  - Journal of Mathematics and Statistics
VL  - 12
IS  - 4
DO  - 10.3844/jmssp.2016.213.224
UR  - https://thescipub.com/abstract/jmssp.2016.213.224
AB  - 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.