Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant

In this paper, we consider a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally asymptotically stable. The permanent condition of the investigated system is also analyzed by the theory on impulsive differential equation. Our results reveal that the chemostat environmental changes play an important role on the outcome of the chemostat.

Research Highlights
► This work improves on existing chemostat models.
► The proposed model accounts for natural phenomena.
► This work improves on the existing mathematical methods.