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An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model
Joint Authors
Ahmad, Riaz
Baleanu, Dumitru
Rafiq, Muhammad
Khan, Ilyas
Farooqi, Asma
Farooqi, Rashada
Alharbi, Sayer O.
Ahmad, M. O.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-15
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Farooqi, Asma& Ahmad, Riaz& Farooqi, Rashada& Alharbi, Sayer O.& Baleanu, Dumitru& Rafiq, Muhammad…[et al.]. 2020. An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1188227
Modern Language Association (MLA)
Farooqi, Asma…[et al.]. An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model. Journal of Mathematics No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1188227
American Medical Association (AMA)
Farooqi, Asma& Ahmad, Riaz& Farooqi, Rashada& Alharbi, Sayer O.& Baleanu, Dumitru& Rafiq, Muhammad…[et al.]. An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1188227
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188227