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Effects of density of infected population to the spreading of HIV epidemic in communities

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  • Mukwembi, Simon

Abstract

We present a dynamical model for the spread of HIV in a finite discrete population of size n represented by the set V. The model takes into account the structure of the sexual network, the density of infected population in each individual’s sexual partners, and a reasonable amount of the influence of noninfectious HIV positive individuals on HIV infectious partners which may occur in communities. In our analytic results, we give a precise epidemic threshold which, together with certain network properties, is then used to analyse and investigate the existence of epidemic and stability in the HIV spreading dynamics. Our results reproduce common observed patterns in the dynamics of HIV spreading in communities.

Suggested Citation

  • Mukwembi, Simon, 2011. "Effects of density of infected population to the spreading of HIV epidemic in communities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3915-3921.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:21:p:3915-3921
    DOI: 10.1016/j.physa.2011.06.006
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    Cited by:

    1. Li, Xueliang & Qin, Zhongmei & Wei, Meiqin & Gutman, Ivan & Dehmer, Matthias, 2015. "Novel inequalities for generalized graph entropies – Graph energies and topological indices," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 470-479.
    2. Safaei, F. & Yeganloo, H. & Akbar, R., 2020. "Robustness on topology reconfiguration of complex networks: An entropic approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 170(C), pages 379-409.

    More about this item

    Keywords

    HIV; Social network; Graph;
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