Efficient Numerical Solutions to a SIR Epidemic Model

Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Higinio Ramos, Shao-Wen Yao () and Maryam Molayi
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Mohammad Mehdizadeh Khalsaraei: Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh 55181-83111, Iran
Ali Shokri: Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh 55181-83111, Iran
Higinio Ramos: Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, 37008 Salamanca, Spain
Shao-Wen Yao: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
Maryam Molayi: Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh 55181-83111, Iran

Mathematics, 2022, vol. 10, issue 18, 1-15

Abstract: Two non-standard predictor-corrector type finite difference methods for a SIR epidemic model are proposed. The methods have useful and significant features, such as positivity, basic stability, boundedness and preservation of the conservation laws. The proposed schemes are compared with classical fourth order Runge–Kutta and non-standard difference methods (NSFD). The stability analysis is studied and numerical simulations are provided.

Keywords: epidemic models; numerical methods; elementary stability; positivity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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