Household epidemic models with varying infection response

Journal of Mathematical Biology

Volumn 63, Issue 2, 2011, Pages 309-337

  Ball, Frank ^a   Britton, Tom ^b   Sirl, David ^a,c  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b STOCKHOLM UNIVERSITY   (Sweden)

^c LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Final outcome data; Household epidemic model; Infector dependent severity; Kullback Leibler divergence; Multitype epidemic; Varying infection response

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; COMMUNICABLE DISEASE; COMPARATIVE STUDY; COMPUTER SIMULATION; DISEASE TRANSMISSION; EPIDEMIC; FAMILY SIZE; HUMAN; IMMUNOLOGY;

COMMUNICABLE DISEASES; COMPUTER SIMULATION; DISEASE OUTBREAKS; FAMILY CHARACTERISTICS; HUMANS; MODELS, IMMUNOLOGICAL;

EID: 79960442861     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-010-0372-6     Document Type: Article

References (20)

1. Addy CL, Longini IM, Haber M (1991) A generalized stochastic model for the analysis of infectious disease final size data. Biometrics 47: 961-974.
2. Ball FG, Becker NG (2006) Control of transmission with two types of infection. Math Biosci 200: 170-187.
3. Ball FG, Britton T (2007) An epidemic model with infector-dependent severity. Adv Appl Probab 39: 949-972.
4. Ball FG, Britton T (2009) An epidemic model with infector and exposure dependent severity. Math Biosci 218: 105-120.
5. Ball FG, Lyne OD (2001) Stochastic multitype SIR epidemics among a population partitioned into households. Adv Appl Probab 33: 99-123.
6. Ball FG, Lyne OD (2010) Statistical inference for epidemics among a population of households. Under revision.
7. * and secure vaccination coverage. Biometrika 91: 345-362.
8. Becker NG, Hall R (1996) Immunization levels for preventing epidemics in a community of households made up of individuals of various types. Math Biosci 132: 205-216.
9. Bishop YMM, Feinberg SE, Holland PW (1975) Discrete multivariate statistics. MIT Press, Cambridge.
10. Britton T, Becker NG (2000) Estimating the immunity coverage required to prevent epidemics in a community of households. Biostatistics 1: 389-402.
11. Carrat F, Vergu E, Ferguson NM, Lemaitre M, Cauchemez S, Leach S, Valleron A-J (2008) Time lines of infection and disease in human influenza: a review of volunteer challenge studies. Am J Epidemiol 167: 775-785.
12. Ethier SN, Kurtz TG (1986) Markov processes: characterization and convergence. Wiley, New York.
13. Ferguson NM, Cummings DAT, Cauchemez S, Fraser C, Riley S, Meeyai A, Iamsirithaworn S, Burke DS (2005) Strategies for containing an emerging influenza pandemic in Southeast Asia. Nature 437: 209-214.
14. Keeling MJ, Rohani P (2008) Modeling infectious diseases in humans and animals. Princeton University Press, Princeton.
15. Leroy EM, Baize S, Debre P, Lansoud-Soukate J, Mavoungou E (2001) Early immune responses accompanying human asymptomatic Ebola infections. Clin Exp Immunol 124: 453-460.
16. Mangada MNM, Igarashi A (1998) Molecular and in vitro analysis of eight dengue type 2 viruses isolated from patients exhibiting different disease severities. Virology 244: 458-466.
17. Mehta PN, Chatterjee A (2010) Varicella. eMedicine. http://emedicine. medscape. com/article/969773-overview. Accessed 29 April 2010.
18. Morley DC, Aaby P (1997) Managing measles: size of infecting dose may be important. BMJ 314: 1692.
19. Pellis L, Ferguson NM, Fraser C (2008) The relationship between real-time and discrete-generation models of epidemic spread. Math Biosci 216: 63-70.
20. Staalsoe T, Hviid L (1998) The role of variant-specific immunity in asymptomatic malaria infections: maintaining a fine balance. Parasitol Today 14: 177-178.