Stochastic Model to Demonstrate the Effect of Threshold Estimate Using Shock Model

The threshold of the HIV plays a major role in the progression of infection. The important characteristic of the threshold for a person is the time to attain the break down point. The component fails when the total amount of damage exceeds a threshold level. The alpha-Poisson distribution is used to compute the expected time to reach the threshold status and its variance is found. The analytical results are numerically illustrated by assuming specific distributions.