Stability of delayed fractional order SEIQIcRVW mathematical model for Omicron variant

• Published in: International journal of dynamics and control Vol. 12; no. 5; pp. 1392 - 1403
• Main Authors: Dickson, S., Padmasekaran, S., Lakshmanan, K.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 2024; Springer Nature B.V
• Subjects: Complexity; Control; Control and Systems Theory; Dynamical Systems; Engineering; Mathematical analysis; Mathematical models; Stability analysis; Time lag; Vibration; Stability; 26A33; Omicron; Delay; Fractional derivative; 34A08; 65P40
• ISSN: 2195-268X; 2195-2698
• DOI: 10.1007/s40435-023-01287-2

The time delay between the conversion of susceptible individuals into infected individuals is considered for the purpose of assessing the stability of the fractional order delay mathematical model SEIQ
I
c
RVW for the Omicron variant. The long delays led to the pandemic’s final containment. The endemic equilibrium and the disease-free equilibrium are the two equilibrium points in this delayed model that are found. The local stability of the models reveals that the stability requirements rely on the reproduction number
R
0
. We used numerical data for the graphical simulations to highlight the properties of the projected model for the time variable. We created many graphs for various fractional orders and time delays.