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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2015 (2015), Article ID 29

Age-structured mathematical model for HIV/AIDS in a two-dimensional heterogeneous population

Pratibha Rani, V. P. Saxena, D. S. Hooda

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Abstract

In this paper, a two-dimensional age-structured mathematical model for HIV/AIDS in three different communities of a heterogeneous population is proposed. The two distinct classes of each community lead to a set of model equations with single ordinary and partial differential equations. Different rates of contact are considered among the individuals of the communities. The equilibrium states and the corresponding characteristic equations are obtained which are analyzed by Bellman and Cookes theorem, especially non-zero equilibrium state.

Published
7 August 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Pratibha Rani, V. P. Saxena, D. S. Hooda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

P. Rani, V. P. Saxena, D. S. Hooda, Age-structured mathematical model for HIV/AIDS in a two-dimensional heterogeneous population, Commun. Math. Biol. Neurosci. 2015 (2015), 29.

BibTeX
@article{Rani2015,
  author  = {Rani, Pratibha and Saxena, V. P. and Hooda, D. S.},
  title   = {Age-structured mathematical model for HIV/AIDS in a two-dimensional heterogeneous population},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2015},
  year    = {2015},
  pages   = {29},
  doi     = {}
}