Dynamic Consistent NSFD Scheme for a Delayed Viral Infection Model with Immune Response and Nonlinear Incidence
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, a discrete-time model has been proposed by applying nonstandard finite difference (NSFD) scheme to solve a delayed viral infection model with immune response and general nonlinear incidence.
It is shown that the discrete model has equilibria which are exactly the same as those of the original continuous model.
Using discrete-time analogue of Lyapunov functionals, the global asymptotic stability of the equilibria of the discrete model is fully determined by the basic reproduction number of the virus and immune response, R0 and R1, with no restriction on the time step size, which implies that the NSFD scheme preserves the qualitative dynamics of the corresponding continuous model.
American Psychological Association (APA)
Xu, Jinhu& Geng, Yan. 2017. Dynamic Consistent NSFD Scheme for a Delayed Viral Infection Model with Immune Response and Nonlinear Incidence. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1151282
Modern Language Association (MLA)
Xu, Jinhu& Geng, Yan. Dynamic Consistent NSFD Scheme for a Delayed Viral Infection Model with Immune Response and Nonlinear Incidence. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1151282
American Medical Association (AMA)
Xu, Jinhu& Geng, Yan. Dynamic Consistent NSFD Scheme for a Delayed Viral Infection Model with Immune Response and Nonlinear Incidence. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1151282
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151282