Optimal treatment and stochastic stability on a fractional-order epidemic model incorporating media awareness

Infectious diseases have become a severe concern in our society in recent times. In this respect, conducting a qualitative investigation of infectious disease systems is very crucial. Nowadays, developing a mathematical model and its analysis for disease control has been very popular. Our present st...

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Bibliographic Details
Published in:Results in control and optimization 2024-06, Vol.15, p.100419, Article 100419
Main Authors: Barman, Snehasis, Jana, Soovoojeet, Majee, Suvankar, Kar, Tapan Kumar
Format: Article
Language:English
Subjects:
Environmental fluctuation
Fractional-order optimal control
Memory effect
Saturated incidence function
Sensitivity analysis
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Summary:Infectious diseases have become a severe concern in our society in recent times. In this respect, conducting a qualitative investigation of infectious disease systems is very crucial. Nowadays, developing a mathematical model and its analysis for disease control has been very popular. Our present study has formulated a SIR-type epidemic model by considering a saturated incidence function with media impact. To account for the influence of memory, we have modified the model by employing a system of fractional-order differential equations of Caputo’s notion. We have determined all the system equilibrium points and discussed their stability criteria based on the basic reproduction number (R0) as the threshold parameter. It is observed that for the threshold R0
ISSN:2666-7207
2666-7207
DOI:10.1016/j.rico.2024.100419