Efficient solution of fractional-order SIR epidemic model of childhood diseases with optimal homotopy asymptotic method
Document Type
Article
Publication Date
1-1-2022
Abstract
In providing an accurate approximate analytical solution to the non-linear system of fractional-order susceptible-infected-recovered epidemic model (FOSIREM) of childhood disease has been a challenge, because no norm to guarantees the convergence of the infinite series solution. We compute an accurate approximate analytical solution using the optimal homotopy asymptotic method (OHAM). The fractional differential equations operator (FDEO) is given as conformable derivative operator (CDO). We show the basic idea of the proposed method, the CDO sense, equilibrium points, local asymptotic stability, reproduction number, and the convergence analysis of the proposed method. Numerical results and comparisons with other approximate analytical methods are given to validate the efficiency of the method. The proposed method speedily converges to the exact solution as the fractional-order derivative approaches 1, proved as an excellent tool for solving, and predicting the model.
Keywords
Diseases, Mathematical models, Numerical models, Convergence, Analytical models, Vaccines, Licenses, Infectious childhood disease, Non-linear model, Approximate analytical solution, Conformable derivative operator, SIR-model, Reproduction number
Divisions
MathematicalSciences
Funders
None
Publication Title
IEEE Access
Volume
10
Publisher
Institute of Electrical and Electronics Engineers
Publisher Location
445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA