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

top
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

top

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

top
  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.  
  3. H. W. Hethcote. The mathematics of infectious diseases. SIAM Review, 42 (2000), 599–653.  
  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.  
  5. http//demo.istat.it 
  6. H. Malchow, S. Petrovskii, E. Venturino. Spatiotemporal patterns in Ecology and Epidemiology. CRC, Boca Raton, 2008.  
  7. G. D. Smith. Numerical Solution of Partial Differential Equations : Finite Difference Methods. third ed. Clarendon press, Oxford, 1985.  
  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.  

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.