HIV/AIDS Model with Delay and the Effects of Stochasticity

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

doi:10.1007/s10852-010-9148-7

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 journal › Article › peer-review

6 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 language	English
Pages (from-to)	181-191
Number of pages	11
Journal	Journal of Mathematical Modelling and Algorithms
Volume	10
Issue number	2
Early online date	23 Dec 2010
DOIs	https://doi.org/10.1007/s10852-010-9148-7
Publication status	Published - 1 Jun 2011
Externally published	Yes

Keywords

Delay
HIV/AIDS model
Incubation
Stochasticity

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s10852-010-9148-7

Cite this

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AU - Mukandavire, Z.

AU - Das, P.

AU - Chiyaka, C.

AU - Gazi, N. H.

AU - Das, K.

AU - Shiri, T.

PY - 2011/6/1

Y1 - 2011/6/1

N2 - 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.

AB - 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.

KW - Delay

KW - HIV/AIDS model

KW - Incubation

KW - Stochasticity

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HIV/AIDS Model with Delay and the Effects of Stochasticity

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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