| We modify two existing ordinary differential equation models of HIV infection. The first models cell-free viral spread of HIV in the body. We examine its stability properties and then modify it by introducing a delay term to simulate the effects of HIV's latency. We study the effect of the delay on stability of the model.;We then modify an existing ODE model of cell-to-cell spread of HIV infection in tissue cultures. We incorporate some more realistic terms for cell-to-cell spread, and examine stability. We then model latency by a time delay, analysing the stability under these circumstances. Finally, we include diffusion terms and determine whether Turing instability--and hence, pattern formation--may occur. |
