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Global stability of a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response.
- Source :
- Advances in Difference Equations; 10/12/2017, Vol. 2017 Issue 1, p1-16, 16p
- Publication Year :
- 2017
-
Abstract
- In this paper, a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response is investigated. By constructing the Lyapunov functionals, the threshold conditions on the global stability of the infection-free, immune-free and interior equilibria are established if the space is assumed to be homogeneous. We show that the infection-free equilibrium is globally asymptotically stable if the basic reproductive number $R_{0}\leq1$ ; the immune-free equilibrium is globally asymptotically stable if the immune reproduction number and the basic reproduction number satisfy $R_{1}\leq1< R_{0}$ ; the interior equilibrium is globally asymptotically stable if $R_{1}>1$ . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2017
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 125685651
- Full Text :
- https://doi.org/10.1186/s13662-017-1332-x