supported by the National Natural Science Foundation(NNSF)of China(Nos.11871201,11871238 and 12001178)。
It is beyond dispute that cytotoxic T-lymphocytes(CTLs)exert a vital function in the host's antiviral defense mechanism.With the idea of the above factor and the logistic proliferation of CD4+T-cells,we establish a HT...
Human immunodeficiency virus(HIV)and human T-Iymphotropic virus type I(HTLV-I)are two retroviruses that infect the susceptible CD4^(+)T cells.It is known that HIV and HTLV-I have in common a way of transmission throug...
Acknowledgments The authors would like to thank the reviewers' constructive suggestions which have improved the presentation of the paper. This research is supported by National Natural Science Foundation of China (No. 11371111), the Research Fund for the Doctoral Program of Higher Education of China (No. 20122302110044) and Shandong Provincial Natural Science Foundation, China (No. ZR2013AQ023).
In this paper, a HTLV-I infection model with two delays is considered. It is found that the dynamics of this model are determined by two threshold parameters R0 and R1, basic reproduction numbers for viral infection a...
Supported by the Scientic and Technological Project of Henan Province(122300410034,132300410344);Supported by the the Universities Young Teachers Program of Henan Province(2010GGJS-104)
In this paper, a mathematical model for HTLV-I infection of CD4+ T cells that incorporates the CD8+ cytotoxic T-cell(CTL) response is studied. We establish two threshold parameters Ro and R1, the basic reproductio...