In this paper, the dynamic behaviors of a Monod type chemostat model with impulsive perturbation are investigated. Using Floquet theory and small amplitude perturbation method, we prove that the microorganism-eradication periodic solution is asymptotically stable if the impulsive period satisfies some conditions. Moreover, the permanence of the system is discussed in detail. Finally, we verify the main results by numerical simulation.
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Sun, S., Chen, L. Dynamic behaviors of Monod type chemostat model with impulsive perturbation on the nutrient concentration. J Math Chem 42, 837–847 (2007). https://doi.org/10.1007/s10910-006-9144-3
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DOI: https://doi.org/10.1007/s10910-006-9144-3