HIV/AIDS Model with Delay and the Effects of Stochasticity

HIV/AIDS Model with Delay and the Effects of Stochasticity

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Article ID: iaor20115197
Volume: 10
Issue: 2
Start Page Number: 181
End Page Number: 191
Publication Date: Jun 2011
Journal: Journal of Mathematical Modelling and Algorithms
Authors: , , , , ,
Keywords: simulation: applications
Abstract:

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.

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