Global dynamics of a discrete viral infection model with time delay, virus-to-cell and cell-to-cell transmissions. Issue 11 (2nd November 2017)

• Record Type: Journal Article
• Authors: Zhou, Jinling; Yang, Yu
• Is Part Of: Journal of difference equations and applications. Volume 23:Issue 11(2017)
• Page Start: 1853
• Page End: 1868
• Publication Date: 2017-11-02
• Subjects: Nonstandard finite difference -- global stability -- Lyapunov function -- permanent -- cell-to-cell; 37M99 -- 39A11 -- 92D30 -- 03H05; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2017.1371144
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract: We present a nonstandard finite difference scheme for a delayed viral infection model with virus-to-cell and cell-to-cell transmissions. We prove that the system is permanent if the basic reproduction numberR 0 > 1 . Then we show that the infection-free equilibrium is globally asymptotically stable ifR 0 ≤ 1, and the infection equilibrium is globally asymptotically stable ifR 0 > 1 . Numerical simulations are presented to illustrate our theoretical results.