HIV/AIDS Model with Delay and the Effects of Stochasticity
Z Mukandavire;
P Das;
C Chiyaka;
NH Gazi;
K Das;
T Shiri;
(2011)
HIV/AIDS Model with Delay and the Effects of Stochasticity.
Journal of Mathematical Modelling and Algorithms, 10 (2).
pp. 181-191.
DOI: 10.1007/s10852-010-9148-7
We present a deterministic HIV/AIDS model with delay. We then extend the model by adjoining terms capturing stochastic effects. The intensity of the fluctuations in the stochastic system is analytically evaluated using Fourier transform methods. We carry out simulations to assess differences in the dynamical behavior of the deterministic and stochastic models. Simulation results show that they are no significant differences in the behavior of the two models. © 2010 Springer Science+Business Media B.V.