aLicenciatura en Matemáticas, Universidad del Quindío, Quindío, Colombia
bDepartamento de Matematicas, Universidad del Valle, Cali, Colombia
cMathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, USA
dDepartment of Applied Mathematics, Kyung Hee University, Yongin, Korea
© 2014 Published by Elsevier B.V. on behalf of Korea Centers for Disease Control and Prevention.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Param. | Description | Value | Reference |
---|---|---|---|
T0 | Initial value for uninfected CD4+T cells | 1000 | — |
|
Initial value for infected CD4+T cells | 0 | — |
M0 | Initial value for Non-active immune cells | 0 | — |
|
Initial value for active immune cells | 1 | — |
V0 | Initial value for virus | 0.01 | — |
σ | Source term for uninfected CD4 T cells | 10 mm3d−1 | [22] |
β | Rate CD4 T cell becomes infected by virus | 2.5*10−5 mm3d−1 | [22] |
μ | Death rate of uninfected CD4 T cell | 0.01 d−1 | [22] |
η | Number of virus produced by cells lysis | 500 | [22] |
δ | Death rate of infected CD4 T cells | 0.26 d−1 | [22] |
c | Clearance rate of virus | 2,4 d−1 | [22] |
α | Rate of immune response proliferation | 5*10−5 mm3d−1 | [22] |
ρ | Death rate of immune response | 0.1 mm3d−1 | [22] |
γ | Rate actively infected cells deleted by CTL | 2*10−3 mm3d−1 | [22] |
λ | Source term for immune response | 5 mm3d−1 | [22] |
ψ | Rate of immune response activation | 2*10−3 mm3d−1 | — |
Param. | Description | Value | Reference |
---|---|---|---|
T0 | Initial value for uninfected CD4+T cells | 1000 | — |
Initial value for infected CD4+T cells | 0 | — | |
M0 | Initial value for Non-active immune cells | 0 | — |
Initial value for active immune cells | 1 | — | |
V0 | Initial value for virus | 0.01 | — |
σ | Source term for uninfected CD4 T cells | 10 mm3d−1 | |
β | Rate CD4 T cell becomes infected by virus | 2.5*10−5 mm3d−1 | |
μ | Death rate of uninfected CD4 T cell | 0.01 d−1 | |
η | Number of virus produced by cells lysis | 500 | |
δ | Death rate of infected CD4 T cells | 0.26 d−1 | |
c | Clearance rate of virus | 2,4 d−1 | |
α | Rate of immune response proliferation | 5*10−5 mm3d−1 | |
ρ | Death rate of immune response | 0.1 mm3d−1 | |
γ | Rate actively infected cells deleted by CTL | 2*10−3 mm3d−1 | |
λ | Source term for immune response | 5 mm3d−1 | |
ψ | Rate of immune response activation | 2*10−3 mm3d−1 | — |