Fractional order mathematical modeling of typhoid fever disease

A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel

“…The present fractional model (23) has a unique solution for if the following condition satisfies ( AHMAD et al, 2021 ; Qureshi and Yusuf, 2019c ; Sinan et al, 2022 , Sinan et al, 2021 ):…”

ABC Fractional Order Vaccination Model for Covid-19 with Self-Protective Measures

“…Oud, M.A, Ali, et al, studied the disease model on COVID-19 with multicontrols quarantine and isolation [ 43 ]. Muhammed Sinan et al, have analysed a compartmental model PSEIT with control strategies inhibited more feasibly [ 44 ]. Qualitative and stability in Hyer Ulam’s style [ 45 ] analysis of fractional Caputo type model have been demonstrated by several modelling analysts and the better desired result have been suggested for most minimal order of derivatives [ 42 – 48 ].…”

Sensitivity analysis of COVID-19 with quarantine and vaccination: A fractal-fractional model

“…In epidemiology, the application of mathematics and computer approaches is gaining popularity. It has been a hot topic for scholars for decades, and many techniques are employed to describe or explain the dynamics of various infectious illnesses in terms of mathematical equations [16] , [17] , [18] , [19] , [20] , [21] . In addition, the notion of optimal control is used to these mathematical models, which has been shown to be effective in the prevention of many pandemic outbreaks in various parts of the world at various times [22] , [23] .…”