In:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, The Royal Society, Vol. 472, No. 2186 ( 2016-02), p. 20150626-
Abstract:
In this paper, we propose a mathematical model for HIV infection with delays in cell infection and virus production. The model examines a viral therapy for controlling infections through recombining HIV with a genetically modified virus. For this model, we derive two biologically insightful quantities (reproduction numbers) R 0 and R z , and their threshold properties are discussed. When R 0 〈 1 , the infection-free equilibrium E 0 is globally asymptotically stable. If R 0 〉 1 and R z 〈 1 , the single-infection equilibrium E s is globally asymptotically stable. When R z 〉 1 , there occurs the double-infection equilibrium E d , and there exists a constant R b such that E d is asymptotically stable if 1 〈 R z 〈 R b . Some simulations are performed to support and complement the theoretical results.
Type of Medium:
Online Resource
ISSN:
1364-5021
,
1471-2946
DOI:
10.1098/rspa.2015.0626
Language:
English
Publisher:
The Royal Society
Publication Date:
2016
detail.hit.zdb_id:
209241-4
detail.hit.zdb_id:
1460987-3
SSG:
11
