Research Information System
Annals of Mathematical Sciences and Applications, vol.10, no.1, pp.39-59, 2025 (ESCI, Scopus)
The discrete-time chemostat model’s behaviors are intriguing. The model under consideration was created using the forward Euler method from a continuous-time population model. First, we start by identifying the model’s fixed points. By conducting a local stability analysis for each fixed point independently, we determine the system’s dynamic behavior. The central manifold theorem and bifurcation theory are then used to show that flip bifurcation occurs. In bifurcation analysis, the integral step size is used as a bifurcation parameter. The flip bifurcation embedded in the complex attractor is stabilized by a hybrid control approach. The viability of theoretical analysis is confirmed by numerical simulation, which shows some interesting and novel behavioral dynamics.