We apply the Taylor matrix method to generate semi-analytic solutions of a recently introduced SIR-type epidemic model for the spread of COVID-19, focusing on the case where the actual solution spirals towards a limit cycle. We assess the accuracy of these semi-analytic solutions in estimating the peaks of the epidemic waves, comparing them with semi-analytic solutions generated using the differential transform method. Since the model's analytic solution is not easily obtainable, we calculate the errors relative to the numerical solution generated by the fourth-order Runge-Kutta method with a sufficiently small step size. The results show that the errors produced by the Taylor matrix method decay faster than those produced by the differential transform method, indicating the superiority of the former method over the latter. However, this superiority comes with the trade-off of a significantly longer computation duration.
Agustine, R. Dian , Hoseana, J. and Yong, B. (2025). Semi-analytic solutions of an SIR-type epidemic model using the Taylor matrix method. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.65128.2978
MLA
Agustine, R. Dian, , Hoseana, J. , and Yong, B. . "Semi-analytic solutions of an SIR-type epidemic model using the Taylor matrix method", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.65128.2978
HARVARD
Agustine, R. Dian, Hoseana, J., Yong, B. (2025). 'Semi-analytic solutions of an SIR-type epidemic model using the Taylor matrix method', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.65128.2978
CHICAGO
R. Dian Agustine , J. Hoseana and B. Yong, "Semi-analytic solutions of an SIR-type epidemic model using the Taylor matrix method," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.65128.2978
VANCOUVER
Agustine, R. Dian, Hoseana, J., Yong, B. Semi-analytic solutions of an SIR-type epidemic model using the Taylor matrix method. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.65128.2978
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