Back to Search Start Over

Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions.

Authors :
Yang, Yu
Zhou, Jinling
Ma, Xinsheng
Zhang, Tonghua
Source :
Computers & Mathematics with Applications. Aug2016, Vol. 72 Issue 4, p1013-1020. 8p.
Publication Year :
2016

Abstract

In this paper, we first propose a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions. Then, we consider the discretization of the model by using nonstandard finite difference scheme. It is then followed by the investigation of the global stability of the equilibria of the discrete model. Our study shows that if the basic reproduction number R 0 ≤ 1 , then the infection-free equilibrium is globally asymptotically stable; however if R 0 > 1 , then the infection equilibrium is globally asymptotically stable. Numerical simulations are presented to illustrate our theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08981221
Volume :
72
Issue :
4
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
117039007
Full Text :
https://doi.org/10.1016/j.camwa.2016.06.015