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Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?

Published online by Cambridge University Press:  06 June 2012

A. Castellazzo ,
A. Mauro ,
C. Volpe  and
E. Venturino
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Abstract

In this paper we present an epidemic model affecting an age-structured population. We show by numerical simulations that this demographic structure can induce persistent oscillations in the epidemic. The model is then extended to encompass a stage-structured disease within an age-dependent population. In this case as well, persistent oscillations are observed in the infected as well as in the whole population.

Keywords

age-structured populationstage-structured epidemics
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 3: Epidemiology , 2012 , pp. 28 - 39
Copyright
© EDP Sciences, 2012

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References

Abia, L. M., Angulo, O., López-Marcos, J. C.. Age-structured population models and their numerical solution. Ecological Modelling, 188 (2005), 122–123. CrossRefGoogle Scholar
Haque, M., Venturino, E.. The role of transmissible diseases in Holling-Tanner predator-prey model. Theoretical Population Biology, 70 (2006), 273–288. CrossRefGoogle ScholarPubMed
Hethcote, H. W.. The mathematics of infectious diseases. SIAM Review, 42 (2000), 599–653. CrossRefGoogle Scholar
Kwon, Y., Cho, C. K.. Second-order accurate difference methods for a one-sex model of population dynamics. SIAM J. Numer. Anal, 30 (1993), 1385–1399. CrossRefGoogle Scholar
http//demo.istat.it
H. Malchow, S. Petrovskii, E. Venturino. Spatiotemporal patterns in Ecology and Epidemiology. CRC, Boca Raton, 2008.
G. D. Smith. Numerical Solution of Partial Differential Equations : Finite Difference Methods. third ed. Clarendon press, Oxford, 1985.
E. Venturino. A generalization of the classical epidemiology model. IMACS Transactions on Scientific Computation ’85, vol. 5 — Modelling of Biomedical Systems, (1985), 243–248.
Venturino, E.. A stage-dependent ecoepidemic model. WSEAS Transactions on Biology and Biomedicine, 1 (2004), 449–454. Google Scholar
E. Venturino. Ecoepidemiology 15 years later : a review. Numerical Analysis and Applied Mathematics, T. Simos (Editor), Proceedings of ICNAAM 2007, AIP 936, (2007) 31–34.