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An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model

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Listed:
  • Asma Farooqi
  • Riaz Ahmad
  • Rashada Farooqi
  • Sayer O. Alharbi
  • Dumitru Baleanu
  • Muhammad Rafiq
  • Ilyas Khan
  • M. O. Ahmad
  • Hijaz Ahmad

Abstract

The present work deals with the construction, development, and analysis of a viable normalized predictor-corrector-type nonstandard finite difference scheme for the SEIR model concerning the transmission dynamics of measles. The proposed numerical scheme double refines the solution and gives realistic results even for large step sizes, thus making it economical when integrating over long time periods. Moreover, it is dynamically consistent with a continuous system and unconditionally convergent and preserves the positive behavior of the state variables involved in the system. Simulations are performed to guarantee the results, and its effectiveness is compared with well-known numerical methods such as Runge–Kutta (RK) and Euler method of a predictor-corrector type.

Suggested Citation

  • Asma Farooqi & Riaz Ahmad & Rashada Farooqi & Sayer O. Alharbi & Dumitru Baleanu & Muhammad Rafiq & Ilyas Khan & M. O. Ahmad & Hijaz Ahmad, 2020. "An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model," Journal of Mathematics, Hindawi, vol. 2020, pages 1-18, December.
    • Handle: RePEc:hin:jjmath:8830829
    DOI: 10.1155/2020/8830829
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    Cited by:

    1. Sweilam, N.H. & ElSakout, D.M. & Muttardi, M.M., 2021. "Numerical solution for stochastic extended Fisher-Kolmogorov equation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Abraham J. Arenas & Gilberto González-Parra & Jhon J. Naranjo & Myladis Cogollo & Nicolás De La Espriella, 2021. "Mathematical Analysis and Numerical Solution of a Model of HIV with a Discrete Time Delay," Mathematics, MDPI, vol. 9(3), pages 1-21, January.
    3. Manohara, G. & Kumbinarasaiah, S., 2024. "Numerical approximation of fractional SEIR epidemic model of measles and smoking model by using Fibonacci wavelets operational matrix approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 358-396.

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