scholarly journals Dynamics of a HIV-1 Infection model with cell-mediated immune response and intracellular delay

2009 ◽  
Vol 12 (2) ◽  
pp. 511-524 ◽  
Author(s):  
Huiyan Zhu ◽  
◽  
Xingfu Zou ◽  
Keyword(s):  
Immune Response ◽  
Infection Model ◽  
Intracellular Delay ◽  
Cell Mediated Immune Response ◽  
Hiv 1

DYNAMICS OF AN HIV-1 INFECTION MODEL WITH CELL-MEDIATED IMMUNE RESPONSE AND STOCHASTIC PERTURBATION

2012 ◽  
Vol 05 (05) ◽  
pp. 1250039 ◽  
Author(s):  
CHUNYAN JI ◽  
DAQING JIANG
Keyword(s):  
Immune Response ◽  
Cytotoxic T Lymphocytes ◽  
Stochastic Perturbation ◽  
Infection Model ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Parameter Perturbation ◽  
Cell Mediated Immune Response ◽  
Long Time ◽  
Hiv 1

In this paper, we introduce the stochasticity into an HIV-1 infection model with cytotoxic T lymphocytes (CTLs) immune response via the technique of parameter perturbation. We show that there is a positive solution as desired in any population dynamics. Then we analyze the long time behavior of this model. We obtain a sufficient condition for the stochastic asymptotic stability in the large of the infection-free equilibrium and give the conditions for the solution fluctuating around the two infection equilibria (one without CTLs being activated and the other with). Finally, we make simulations to conform to our analytical results.

Cell-Mediated Immune Response to Human Immunodeficiency Virus (HIV) Type 1 in Seronegative Homosexual Men with Recent Sexual Exposure to HIV-1

1992 ◽  
Vol 165 (6) ◽  
pp. 1012-1019 ◽  
Author(s):  
Mario Clerici ◽  
Janis V. Giorgi ◽  
Chen-Cheng Chou ◽  
Vaheideh K. Gudeman ◽  
Jerome A. Zack ◽  
...  
Keyword(s):  
Immune Response ◽  
Human Immunodeficiency Virus ◽  
Homosexual Men ◽  
Cell Mediated Immune Response ◽  
Immunodeficiency Virus ◽  
Hiv Type 1 ◽  
Hiv 1

scholarly journals Global Dynamics of a Delayed HIV-1 Infection Model with CTL Immune Response

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Yunfei Li ◽  
Rui Xu ◽  
Zhe Li ◽  
Shuxue Mao
Keyword(s):  
Immune Response ◽  
Viral Infection ◽  
Infection Model ◽  
Global Dynamics ◽  
Asymptotically Stable ◽  
Basic Reproduction Ratio ◽  
Globally Asymptotically Stable ◽  
Reproduction Ratio ◽  
Ctl Immune Response ◽  
Hiv 1

A delayed HIV-1 infection model with CTL immune response is investigated. By using suitable Lyapunov functionals, it is proved that the infection-free equilibrium is globally asymptotically stable if the basic reproduction ratio for viral infection is less than or equal to unity; if the basic reproduction ratio for CTL immune response is less than or equal to unity and the basic reproduction ratio for viral infection is greater than unity, the CTL-inactivated infection equilibrium is globally asymptotically stable; if the basic reproduction ratio for CTL immune response is greater than unity, the CTL-activated infection equilibrium is globally asymptotically stable.

Autophagic induction modulates splenic plasmacytoid dendritic cell mediated immune response in cerebral malarial infection model

2019 ◽  
Vol 21 (10) ◽  
pp. 475-484 ◽  
Author(s):  
Anirban Sengupta ◽  
Tarun Keswani ◽  
Samrat Sarkar ◽  
Soubhik Ghosh ◽  
Saikat Mukherjee ◽  
...  
Keyword(s):  
Immune Response ◽  
Dendritic Cell ◽  
Plasmacytoid Dendritic Cell ◽  
Infection Model ◽  
Malarial Infection ◽  
Cell Mediated Immune Response
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