Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?

A. Castellazzo; A. Mauro; C. Volpe; E. Venturino

Mathematical Modelling of Natural Phenomena (2012)

  • Volume: 7, Issue: 3, page 28-39
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Castellazzo, A., et al. "Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?." Mathematical Modelling of Natural Phenomena 7.3 (2012): 28-39. <http://eudml.org/doc/222261>.

@article{Castellazzo2012,
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.},
author = {Castellazzo, A., Mauro, A., Volpe, C., Venturino, E.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {age-structured population; stage-structured epidemics; age-structured populations},
language = {eng},
month = {6},
number = {3},
pages = {28-39},
publisher = {EDP Sciences},
title = {Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?},
url = {http://eudml.org/doc/222261},
volume = {7},
year = {2012},
}

TY - JOUR
AU - Castellazzo, A.
AU - Mauro, A.
AU - Volpe, C.
AU - Venturino, E.
TI - Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?
JO - Mathematical Modelling of Natural Phenomena
DA - 2012/6//
PB - EDP Sciences
VL - 7
IS - 3
SP - 28
EP - 39
AB - 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.
LA - eng
KW - age-structured population; stage-structured epidemics; age-structured populations
UR - http://eudml.org/doc/222261
ER -

References

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  1. L. M. Abia, O. Angulo, J. C. López-Marcos. Age-structured population models and their numerical solution. Ecological Modelling, 188 (2005), 122–123.  
  2. M. Haque, E. Venturino. The role of transmissible diseases in Holling-Tanner predator-prey model. Theoretical Population Biology, 70 (2006), 273–288.  Zbl1112.92053
  3. H. W. Hethcote. The mathematics of infectious diseases. SIAM Review, 42 (2000), 599–653.  Zbl0993.92033
  4. Y. Kwon, C. K. Cho. Second-order accurate difference methods for a one-sex model of population dynamics. SIAM J. Numer. Anal, 30 (1993), 1385–1399.  Zbl0783.92027
  5. http//demo.istat.it 
  6. H. Malchow, S. Petrovskii, E. Venturino. Spatiotemporal patterns in Ecology and Epidemiology. CRC, Boca Raton, 2008.  Zbl1298.92004
  7. G. D. Smith. Numerical Solution of Partial Differential Equations : Finite Difference Methods. third ed. Clarendon press, Oxford, 1985.  Zbl0576.65089
  8. E. Venturino. A generalization of the classical epidemiology model. IMACS Transactions on Scientific Computation ’85, vol. 5 — Modelling of Biomedical Systems, (1985), 243–248.  
  9. E. Venturino. A stage-dependent ecoepidemic model. WSEAS Transactions on Biology and Biomedicine, 1 (2004), 449–454.  
  10. 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.  Zbl1152.91301

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