Geodesic
Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?
A. Castellazzo1 ; A. Mauro1 ; C. Volpe1 ; E. Venturino1
1 Dipartimento di Matematica “Giuseppe Peano” Università di Torino via Carlo Alberto 10, 10123 Torino, Italy
Mathematical modelling of natural phenomena, Tome 7 (2012) no. 3, pp. 28-39

Voir la notice de l'article provenant de la source EDP Sciences

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.
DOI : 10.1051/mmnp/20127303

A. Castellazzo 1 ; A. Mauro 1 ; C. Volpe 1 ; E. Venturino 1

1 Dipartimento di Matematica “Giuseppe Peano” Università di Torino via Carlo Alberto 10, 10123 Torino, Italy 
@article{10_1051_mmnp_20127303,
     author = {A. Castellazzo and A. Mauro and C. Volpe and E. Venturino},
     title = {Do {Demographic} and {Disease} {Structures} {Affect} the {Recurrence} of {Epidemics\,?}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {28--39},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2012},
     doi = {10.1051/mmnp/20127303},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127303/}
}
TY  - JOUR
AU  - A. Castellazzo
AU  - A. Mauro
AU  - C. Volpe
AU  - E. Venturino
TI  - Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?
JO  - Mathematical modelling of natural phenomena
PY  - 2012
SP  - 28
EP  - 39
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127303/
DO  - 10.1051/mmnp/20127303
LA  - en
ID  - 10_1051_mmnp_20127303
ER  - 
%0 Journal Article
%A A. Castellazzo
%A A. Mauro
%A C. Volpe
%A E. Venturino
%T Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?
%J Mathematical modelling of natural phenomena
%D 2012
%P 28-39
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127303/
%R 10.1051/mmnp/20127303
%G en
%F 10_1051_mmnp_20127303
A. Castellazzo; A. Mauro; C. Volpe; E. Venturino. Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?. Mathematical modelling of natural phenomena, Tome 7 (2012) no. 3, pp. 28-39. doi: 10.1051/mmnp/20127303

[1] L. M. Abia, O. Angulo, J. C. López-Marcos Ecological Modelling 2005 122 123

[2] M. Haque, E. Venturino Theoretical Population Biology 2006 273 288

[3] H. W. Hethcote SIAM Review 2000 599 653

[4] Y. Kwon, C. K. Cho SIAM J. Numer. Anal 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 WSEAS Transactions on Biology and Biomedicine 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.

Cité par Sources :