Time evolution of epidemic disease on finite and infinite networks

Authors: Noël, Pierre-André; Davoud, Bahman; Brunham, Robert C.; Dubé, Louis J.; Pourbohloul, Babak
Abstract: Mathematical models of infectious diseases, which are in principle analytically tractable, use two general approaches. The first approach, generally known as compartmental modeling, addresses the time evolution of disease propagation at the expense of simplifying the pattern of transmission. The second approach uses network theory to incorporate detailed information pertaining to the underlying contact structure among individuals while disregarding the progression of time during outbreaks. So far, the only alternative that enables the integration of both aspects of disease propagation simultaneously while preserving the variety of outcomes has been to abandon the analytical approach and rely on computer simulations. We offer an analytical framework, that incorporates both the complexity of contact network structure and the time progression of disease spread. Furthermore, we demonstrate that this framework is equally effective on finite- and “infinite”-size networks. This formalism can be equally applied to similar percolation phenomena on networks in other areas of science and technology.
Document Type: Article de recherche
Issue Date: 2 February 2009
Open Access Date: 27 March 2020
Document version: VoR
Permalink: http://hdl.handle.net/20.500.11794/38401
This document was published in: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol. 79 (2) (2009)
American Physical Society through the American Institute of Physics
Alternative version: 10.1103/PhysRevE.79.026101
Collection:Articles publiés dans des revues avec comité de lecture

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