An age-structured virus model with two routes of infection in heterogeneous environments. (February 2018)

• Record Type: Journal Article
• Authors: Cheng, Chang-Yuan; Dong, Yueping; Takeuchi, Yasuhiro
• Is Part Of: Nonlinear analysis. Volume 39(2018)
• Page Start: 464
• Page End: 491
• Publication Date: 2018-02
• Subjects: Heterogeneous environments -- Age-structure -- Virus-to-cell infection -- Cell-to-cell transmission -- Stability analysis; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.07.013
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: On the basis of the complexity of the human body, we explore viral dynamics by using a two-compartment model incorporating the age since infection of infected cells and both virus-to-cell infection and cell-to-cell transmission routes. The basic reproduction number, R 0, of the system is formulated from two mechanisms: one is the potential trigger from a single infection route in a compartment and the other is the synergistic effect of a viral infection in two compartments. Accordingly, we prove that the infection-free equilibrium is globally asymptotically stable (GAS) if R 0 < 1, whereas virus persists uniformly with respect to the initial infection if R 0 > 1 . From the viewpoint of a predominant infection route incorporated with another mild infection route, we demonstrate global convergence to the infected equilibrium by applying a theory of perturbation on the globally stable steady state.