On nonlinear classical and fractional order dynamical system addressing COVID-19

Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative

“…The model fitting curve and numerical outcomes have been represented graphically for μ = 1. It can also be noticed that the memory system of CpFab derivative describes the technical dynamics of transmission of the infectious disease COVID-19 more accurately than the classical derivative [ 31 ]. In the absence of efficient medical treatments of the infectious disease, it is observed that the prevention measures such as social distancing, self-quarantine system, and lockdowns must be applied to the community to slow down the expansion of COVID-19.…”

To study the transmission dynamic of SARS-CoV-2 using nonlinear saturated incidence rate

“…From research point of view mathematical modeling is one of the important tool to investigate infectious disease. For effective control of the diseases, mathematical models help to make decision for public health and also support future prediction (see few study as [10] , [11] , [12] , [13] , [14] ). Mathematical models are helpful to investigate spatiotemporal patterns and dynamical behaviors of infections which spreading in communities.…”

Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms

“…Samei et al also introduced a singular quantum BVP for the first time [29]. Even, some applications of fixed point can be followed in the papers regarding mathematical biological models (see [30][31][32]).…”