### Mathematical Biosciences and Engineering

2021, Issue 4: 3274-3290. doi: 10.3934/mbe.2021163
Research article Special Issues

# Power-series solution of compartmental epidemiological models

• Received: 19 February 2021 Accepted: 05 April 2021 Published: 12 April 2021
• In this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods to solve the corresponding systems of nonlinear differential equations. A simple and classical SIR compartmental model is considered to reveal clearly the idea of our approach. Moreover, a SAIRP compartmental model is also analyzed by using the same methodology, previously applied to the COVID-19 pandemic. Numerical experiments are performed to show the accuracy of this approach.

Citation: H. M. Srivastava, I. Area, J. J. Nieto. Power-series solution of compartmental epidemiological models[J]. Mathematical Biosciences and Engineering, 2021, 18(4): 3274-3290. doi: 10.3934/mbe.2021163

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• In this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods to solve the corresponding systems of nonlinear differential equations. A simple and classical SIR compartmental model is considered to reveal clearly the idea of our approach. Moreover, a SAIRP compartmental model is also analyzed by using the same methodology, previously applied to the COVID-19 pandemic. Numerical experiments are performed to show the accuracy of this approach.

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