HIV/AIDS Model with Delay and the Effects of Stochasticity

Z. Mukandavire, P. Das, C. Chiyaka, N. H. Gazi, K. Das, T. Shiri

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)181-191
Number of pages11
JournalJournal of Mathematical Modelling and Algorithms
Volume10
Issue number2
Early online date23 Dec 2010
DOIs
Publication statusPublished - 1 Jun 2011
Externally publishedYes

Fingerprint

Stochasticity
Stochastic systems
Deterministic Model
Stochastic models
Dynamical Behavior
Stochastic Systems
Stochastic Model
Fourier transform
Fourier transforms
Simulation
Model
Fluctuations
Term

Keywords

  • Delay
  • HIV/AIDS model
  • Incubation
  • Stochasticity

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

HIV/AIDS Model with Delay and the Effects of Stochasticity. / Mukandavire, Z.; Das, P.; Chiyaka, C.; Gazi, N. H.; Das, K.; Shiri, T.

In: Journal of Mathematical Modelling and Algorithms, Vol. 10, No. 2, 01.06.2011, p. 181-191.

Research output: Contribution to journalArticle

Mukandavire, Z. ; Das, P. ; Chiyaka, C. ; Gazi, N. H. ; Das, K. ; Shiri, T. / HIV/AIDS Model with Delay and the Effects of Stochasticity. In: Journal of Mathematical Modelling and Algorithms. 2011 ; Vol. 10, No. 2. pp. 181-191.
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