Reduced Primary HIV Infection in Non-dimensional Form
by Mike Martin

On this page, you can vary the parameters in a system of three ordinary differential equations that model primary HIV infection.   Let s (t) measure the concentration of healthy T cells, i (t) measure the concentration of infected T cells, and v (t) measure the concentration of free virus particles.   The model equations are then:

Note that s (0) = s0,   i (0) = i0,   and   v (0) = v0.   The parameter R represents the constant rate that the body produces healthy T cells, T cells die at a rate proportional to the number of cells (D S for healthy cells and D I for infected cells), infected cells die as a result of virus infection with overall rate M I, healthy cells are reduced at the rate B V S and infected cells increase at the same rate, the production rate of virus particles is proportional to the number of infected cells, P I, and the body removes free virus particles at a rate proportional to the concentration of those particles, C V.   Submit real values for all of the parameters to obtain graphical solutions of the system as functions of time.   A numeric solution on the interval [0, T] is produced using Mathematica's numerical ODE solver, NDSolve.   Initial values must be input.

Enter in the value of the parameters and select the plotting bounds, then press the "Plot" button.

b =  

ε =  

s0 =  

i0 =  

T =  


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