Alharthi, N.H.; Jeelani, M.B. Analyzing a SEIR-Type Mathematical Model of SARS-COVID-19 Using Piecewise Fractional Order Operators. AIMS Mathematics 2023, 8, 27009–27032, doi:10.3934/math.20231382.
Alharthi, N.H.; Jeelani, M.B. Analyzing a SEIR-Type Mathematical Model of SARS-COVID-19 Using Piecewise Fractional Order Operators. AIMS Mathematics 2023, 8, 27009–27032, doi:10.3934/math.20231382.
Alharthi, N.H.; Jeelani, M.B. Analyzing a SEIR-Type Mathematical Model of SARS-COVID-19 Using Piecewise Fractional Order Operators. AIMS Mathematics 2023, 8, 27009–27032, doi:10.3934/math.20231382.
Alharthi, N.H.; Jeelani, M.B. Analyzing a SEIR-Type Mathematical Model of SARS-COVID-19 Using Piecewise Fractional Order Operators. AIMS Mathematics 2023, 8, 27009–27032, doi:10.3934/math.20231382.
Abstract
The continuing public health issue known as COVID-19 (the 2019 Novel Corona virus infection)
has a global emphasis. Despite (or perhaps because of) the fact that there are significant gaps
in our understanding of COVID-19 epidemiology, transmission dynamics, research methods, and
management breakout poses a new kind of global hazard. The good news is that there is currently
enough knowledge about the epidemic process to allow for the creation of mathematical forecasting
models. We modify a conventional SEIR epidemic model to the unique dynamic compartments and
epidemic features of COVID 19 as it spreads in a population with a diverse age structure. Although
many US states and other nations around the world followed lockdown and reopening processes,
we perform some analysis on using some techniques of the epidemic course. A new perspective of
fractional calculus known as piecewise derivatives of fractional order is used to study the proposed
model. Sufficient conditions are established to show the existence theory. In addition, a numerical
scheme based on Newton’s polynomials is established to simulate the approximate solutions of the
proposed model by using various fractional orders. Some real data results are also shown with
comparison of the numerical results.
Keywords
Dynamical system; Piecewise derivative; Newton polynomials; Fractional order iterative method
Subject
Computer Science and Mathematics, Mathematical and Computational Biology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
