The Positivity of Numerical Method for Susceptible-Infected-Recovered-Susceptible Epidemic Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Sudden environmental perturbations may affect the positivity of the solution of the susceptible-infected-recovered-susceptible (SIRS) model.
Most of the SIRS epidemic models have no analytical solution.
Thus, in order to find the appropriate solution, the numerical technique becomes more essential for us to solve the dynamic behavior of epidemics.
In this paper, we are concerned with the positivity of the numerical solution of a stochastic SIRS epidemic model.
A new numerical method that is the balanced implicit method (BIM) is set, which preserves the positivity under given conditions.
The BIM method can maintain positive numerical solution.
An illustrative numerical instance is presented for the numerical BIM of the stochastic SIRS model.
American Psychological Association (APA)
Feng, Feng& Wang, Zong. 2020. The Positivity of Numerical Method for Susceptible-Infected-Recovered-Susceptible Epidemic Model. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1197355
Modern Language Association (MLA)
Feng, Feng& Wang, Zong. The Positivity of Numerical Method for Susceptible-Infected-Recovered-Susceptible Epidemic Model. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1197355
American Medical Association (AMA)
Feng, Feng& Wang, Zong. The Positivity of Numerical Method for Susceptible-Infected-Recovered-Susceptible Epidemic Model. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1197355
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197355