Age of infection epidemic models with heterogeneous mixing

Journal of Biological Dynamics

Volumn 3, Issue 2-3, 2009, Pages 324-330

  Brauer, Fred ^a   Watmough, James ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

Disease transmission model; Final size relations; Generalized delay; Proportionate mixing; Reproduction number

Indexed keywords

AGING; ARTICLE; BIOLOGICAL MODEL; COMMUNICABLE DISEASE; EPIDEMIC; HUMAN; MORTALITY; PHYSIOLOGY;

AGING; COMMUNICABLE DISEASES; EPIDEMICS; HUMANS; MODELS, BIOLOGICAL;

EID: 77953082295     PISSN: 17513758     EISSN: 17513766     Source Type: Journal    
DOI: 10.1080/17513750802415822     Document Type: Article

References (10)

1. Arino, J., Brauer, F., van den Driessche, P., Watmough, J., and Wu, J., 2007. A final size relation for epidemic models. Math. Biosc. Eng., 4:159–176.
2. Brauer, F., Age of infection and the final size relation. Math. Biosc. Eng., to appear
3. Brauer, F., 2008. Epidemic models with heterogeneous mixing and treatment. Bull. Math. Biol., DOI 10.1007/s11538-008-9326-1 (online first)
4. Diekmann, O., and Heesterbeek, J. A.P., 2000. Mathematical Epidemiology of Infectious Diseases, Chichester:Wiley.
5. 0 in models for infectious diseases in heterogeneous populations. J. Math. Biol., 28:365–382.
6. Kermack, W. O., and McKendrick, A. G., 1927. A contribution to the mathematical theory of epidemics. Proc. Royal Soc. Lond., 115:700–721.
7. Ma, J., and Earn, D. J.D., 2006. Generality of the final size formula for an epidemic of a newly invading infectious disease. Bull. Math. Biol., 68:679–702.
8. Nold, A., 1980. Heterogeneity in disease transmission modeling. Math. Biosc., 52:227–240.
9. Schauder, J., 1930. Der Fixpunktsatz in Funktionalräumen. Studia Math., 2:171–180.
10. 0 for age of infection models. Math. Biosc. Eng., 5:585–599.