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Local and Global Stabilities of a Viral Dynamics Model with Infection-Age and Immune Response.
- Source :
- Journal of Dynamics & Differential Equations; Jun2019, Vol. 31 Issue 2, p793-813, 21p
- Publication Year :
- 2019
-
Abstract
- In this paper, we construct an infection-age model to study the interaction between viruses and the immune system within the host. In the model, the mortality rate of infected cells, the rate that cytotoxic T lymphocytes (CTL) kill infected cells, the rate that infected cells produce new virus, and the CTL proliferate rate may depend on the infection-age. The basic reproduction number and the threshold for the existence of steady states are obtained. Local stability of both the infection-free and infection steady states is studied by analyzing the linearized systems. Global stability of the infection-free steady state is obtained by investigating a renewal integral equation and global stability of the infection steady state is obtained by constructing a Liapunov functional. Numerical simulations are presented to verify the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- CYTOTOXIC T cells
BASIC reproduction number
IMMUNE response
INTEGRAL equations
Subjects
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 31
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 136503290
- Full Text :
- https://doi.org/10.1007/s10884-018-9663-1