You have requested a machine translation of selected content from our databases. This functionality is provided solely for your convenience and is in no way intended to replace human translation. Neither SPIE nor the owners and publishers of the content make, and they explicitly disclaim, any express or implied representations or warranties of any kind, including, without limitation, representations and warranties as to the functionality of the translation feature or the accuracy or completeness of the translations.
Translations are not retained in our system. Your use of this feature and the translations is subject to all use restrictions contained in the Terms and Conditions of Use of the SPIE website.
17 March 2008The epidemic threshold theorem with social and contact heterogeneity
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.
The alert did not successfully save. Please try again later.
Doracelly Hincapié Palacio, Juan Ospina Giraldo, Rubén Darío Gómez Arias, "The epidemic threshold theorem with social and contact heterogeneity," Proc. SPIE 6973, Data Mining, Intrusion Detection, Information Assurance, and Data Networks Security 2008, 69730A (17 March 2008); https://doi.org/10.1117/12.777420