Open AccessGlobal dynamics of a HTLV-I infection model with CTL response
Author(s) -
Xinguo Sun,
Junjie Wei
Publication year - 2013
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2013.1.40
Subject(s) - ctl* , basic reproduction number , mathematics , viral infection , dynamics (music) , pure mathematics , virology , immunology , virus , biology , immune system , demography , physics , sociology , population , cd8 , acoustics
In this paper, a HTLV-I infection model with CTL response is considered. To account for a series of events in infection process, we incorporate a intracellular time delay in the model. We prove that the global dynamics are determined by two threshold parameters R0 and R1, basic reproduction numbers for viral infection and for CTL response, respectively. If R0 1, there exists a unique HAM/TSP equilibrium P2, and the equilibrium P2 is asymptotically stable under certain conditions. 2010 AMS Subject Classication: 34K20, 92D25
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