Study of fractional order SIR model with M-H type treatment rate and its stability analysis

Authors

DOI:

https://doi.org/10.59292/bulletinbiomath.2024004

Keywords:

SIR model, Monod-Haldane type treatment rate, optimal control, Caputo derivative

Abstract

In this manuscript, we analyze a fractional-order susceptible-infected-recovered (SIR) mathematical model with a nonlinear incidence rate and nonlinear treatment rate for the control of infectious illness. The incidence rate of infection is considered as Holling type II and the treatment rate is considered as Monod-Haldane (MH) type. The existence and uniqueness criteria for the new model, as well as the non-negativity and boundedness, have been established. We also provide an ideal control strategy for the SIR model using the treatment rate as a control parameter. The solution of the suggested model is approximated using the fractional-order Taylor's method. With the help of MATLAB (2018a), we perform numerical simulations and illustrate the results through graphical representations.

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Published

2024-04-30
CITATION
DOI: 10.59292/bulletinbiomath.2024004
Published: 2024-04-30

How to Cite

Paul, S., Mahata, A., Mukherjee, S., Das, M., Mali, P. C., Roy, B., Mukherjee, P., & Bharati, P. (2024). Study of fractional order SIR model with M-H type treatment rate and its stability analysis. Bulletin of Biomathematics, 2(1), 85–113. https://doi.org/10.59292/bulletinbiomath.2024004