Volume 5 (1), June 2022, Pages 143-164

Mohammad Azimnezhad1, Mohammad Manthouri2 and  Mohammad Teshnehlab3

1 Science and Research Islamic Azad University, Tehran, Iran, This email address is being protected from spambots. You need JavaScript enabled to view it.

2 Shahed University, Tehran, Iran, This email address is being protected from spambots. You need JavaScript enabled to view it.

3 K.N. Toosi university, Tehran, Iran, This email address is being protected from spambots. You need JavaScript enabled to view it.


This paper proposes a vaccination approach based on robust control for the SEIR (susceptible plus exposed plus infectious plus recovered populations) model of epidemic diseases. First, a classic sliding mode controller is investigated based on the SEIR model. Next, fuzzy logic is utilized to better approximate the uncertainties in the SEIR system using the sliding mode controller. Therefore, the proposed controller is a fuzzy sliding mode controller, which, compared to the sliding mode controller, provides an appropriate estimation of systems' actual parameters and removes the chattering phenomenon from the control signal. The stability of the controlled system is guaranteed using the Lyapunov theory simulations in which the classical sliding mode and the proposed controllers are compared, Using data from previous articles. Simulation results show that the proposed controller eliminates the susceptible subpopulation, incubated disease, and infectious diseases, eradicating the disease. Comparison with other methods reveals the better efficiency of the proposed method.


Epidemic Disease, SEIR Model, Sliding Mode Controller, Fuzzy Controller, Vaccination, Uncertainty, Lyapunov.

DOI: https://doi.org/10.32010/26166127.2022.




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