Investigation of SEIR model with vaccinated effects using sustainable fractional approach for low immune individuals

• DOI: 10.3934/math.2024499
• Publication Date: 2024-03-14T10:48:48Z
• Authors: Huda Alsaud; Muhammad Owais Ku...; Aqeel Ahmad; Mustafa Inc; Muhammad Taimoor
• Keywords: Operator (biology)

<abstract><p>Mathematical formulations are crucial in understanding the dynamics of disease spread within a community. The objective this research is to investigate SEIR model SARS-COVID-19 (C-19) with inclusion vaccinated effects for low immune individuals. A mathematical developed by incorporating vaccination individuals based on proposed hypothesis. fractal-fractional operator (FFO) then used convert into fractional order. newly SEVIR system examined both qualitative and quantitative manner determine its stable state. boundedness uniqueness ensure reliable findings, which essential properties epidemic models. global derivative demonstrated verify positivity linear growth Lipschitz conditions rate each sub-compartment. investigated stability using Lyapunov first functions assess overall impact vaccination. In operators, fractal represents dimensions disease, ordered operator. We use combine operators see real behavior as well control COVID-19 different continuous monitoring. Simulations conducted observe symptomatic asymptomatic corona virus measures individuals, providing insights actual under effects. Such investigations valuable developing effective strategies justified outcomes.</p></abstract>