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Proceedings Paper

The epidemic threshold theorem with social and contact heterogeneity
Author(s): Doracelly Hincapié Palacio; Juan Ospina Giraldo; Rubén Darío Gómez Arias
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Paper Abstract

The threshold theorem of an epidemic SIR model was compared when infectious and susceptible individuals have homogeneous mixing and heterogeneous social status and when individuals of random networks have contact heterogeneity. Particularly the effect of vaccination in such models is considered when: individuals or nodes are exposed to impoverished, vaccination and loss of immunity. An equilibrium analysis and local stability of small perturbations about the equilibrium values were implemented using computer algebra. Numerical simulations were executed in order to describe the dynamic of transmission of diseases and changes of the basic reproductive rate. The implications of these results are examined around the threats to the global public health security.

Paper Details

Date Published: 17 March 2008
PDF: 12 pages
Proc. SPIE 6973, Data Mining, Intrusion Detection, Information Assurance, and Data Networks Security 2008, 69730A (17 March 2008); doi: 10.1117/12.777420
Show Author Affiliations
Doracelly Hincapié Palacio, Univ. de Antioquia (Colombia)
Juan Ospina Giraldo, EAFIT Univ. (Colombia)
Rubén Darío Gómez Arias, Univ. de Antioquia (Colombia)


Published in SPIE Proceedings Vol. 6973:
Data Mining, Intrusion Detection, Information Assurance, and Data Networks Security 2008
William J. Tolone; William Ribarsky, Editor(s)

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