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Author

Alberto d’Onofrio

Other affiliations: European Institute of Oncology
Bio: Alberto d’Onofrio is an academic researcher from University of Strathclyde. The author has contributed to research in topics: Epidemic model & Bounded function. The author has an hindex of 38, co-authored 144 publications receiving 5572 citations. Previous affiliations of Alberto d’Onofrio include European Institute of Oncology.


Papers
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Journal ArticleDOI
TL;DR: This report reviews the developmental arc of theoretical epidemiology with emphasis on vaccination, as it led from classical models assuming homogeneously mixing populations and ignoring human behavior, to recent models that account for behavioral feedback and/or population spatial/social structure.

789 citations

Journal ArticleDOI
TL;DR: The numerical simulations seem to suggest that the PVS is slightly more efficient than the continuous vaccination strategy, and it is demonstrated that the above criteria for the LAS guarantee also the GAS.
Abstract: The problem of the applicability of the pulse vaccination strategy (PVS) for the stable eradication of some relevant general class of infectious diseases is analyzed in terms of study of local asymptotic stability (LAS) and global asymptotic stability (GAS) of the periodic eradication solution for the SEIR epidemic model in which is included the PVS. Demographic variations due or not to diseased-related fatalities are also considered. Due to the non-triviality of the Floquet's matrix associate to the studied model, the LAS is studied numerically and in this way it is found a simple approximate (but analytical) sufficient criterion which is an extension of the LAS constraint for the stability of the trivial equilibrium in SEIR model without vaccination. The numerical simulations also seem to suggest that the PVS is slightly more efficient than the continuous vaccination strategy. Analytically, the GAS of the eradication solutions is studied and it is demonstrated that the above criteria for the LAS guarantee also the GAS.

279 citations

BookDOI
01 Oct 2013
TL;DR: Modeling the interplay between human behavior and the spread of infectious diseases and the impact of environmental factors on human behavior is studied.
Abstract: Modeling the interplay between human behavior and the spread of infectious diseases / , Modeling the interplay between human behavior and the spread of infectious diseases / , کتابخانه دیجیتال جندی شاپور اهواز

268 citations

Journal ArticleDOI
TL;DR: Simulations seem to show that the shape of the function modeling the therapy is a crucial factor only for very high values of the therapy period T, whereas for realistic values of T, the eradication of the cancer cells depends on the mean values ofthe therapy term.

267 citations

Journal ArticleDOI
TL;DR: Numerical investigations are provided to show how the stability properties depend on the interplay between some relevant parameters of the model, and a special example of application of the geometric method for global stability, due to Li and Muldowney.
Abstract: We study the global behavior of a non-linear susceptible-infectious-removed (SIR)-like epidemic model with a non-bilinear feedback mechanism, which describes the influence of information, and of information-related delays, on a vaccination campaign. We upgrade the stability analysis performed in d’Onofrio et al. [A. d’Onofrio, P. Manfredi, E. Salinelli, Vaccinating behavior, information, and the dynamics of SIR vaccine preventable diseases, Theor. Popul. Biol. 71 (2007) 301] and, at same time, give a special example of application of the geometric method for global stability, due to Li and Muldowney. Numerical investigations are provided to show how the stability properties depend on the interplay between some relevant parameters of the model.

215 citations


Cited by
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Proceedings ArticleDOI
22 Jan 2006
TL;DR: Some of the major results in random graphs and some of the more challenging open problems are reviewed, including those related to the WWW.
Abstract: We will review some of the major results in random graphs and some of the more challenging open problems. We will cover algorithmic and structural questions. We will touch on newer models, including those related to the WWW.

7,116 citations

Journal ArticleDOI
TL;DR: The total number of new cases of cancer in Europe appears to have increased by 300,000 since 2004 and the ageing of the European population will cause these numbers to continue to increase even if age-specific rates remain constant.

4,155 citations

Journal ArticleDOI
TL;DR: Van Kampen as mentioned in this paper provides an extensive graduate-level introduction which is clear, cautious, interesting and readable, and could be expected to become an essential part of the library of every physical scientist concerned with problems involving fluctuations and stochastic processes.
Abstract: N G van Kampen 1981 Amsterdam: North-Holland xiv + 419 pp price Dfl 180 This is a book which, at a lower price, could be expected to become an essential part of the library of every physical scientist concerned with problems involving fluctuations and stochastic processes, as well as those who just enjoy a beautifully written book. It provides an extensive graduate-level introduction which is clear, cautious, interesting and readable.

3,647 citations