Stochastic dynamics of immunity in small populations: A general framework

Mathematical Biosciences

Volumn 200, Issue 1, 2006, Pages 28-43

  Viet, A F ^a,b   Medley, G F ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b CEMAGREF   (France)

Author keywords

Epidemic; Immunity; Population; Seroepidemiology; Stochastic model; Transmission dynamics

Indexed keywords

EPIDEMIOLOGY; IMMUNOLOGY; MATHEMATICAL MODELS; PATHOLOGY; RANDOM PROCESSES;

EPIDEMIC; IMMUNITY; POPULATION; SEROEPIDEMIOLOGY; STOCHASTIC MODEL; TRANSMISSION DYNAMICS;

MOLECULAR DYNAMICS;

EPIDEMIOLOGY; IMMUNITY; STOCHASTICITY;

ARTICLE; DISEASE TRANSMISSION; EXPOSURE; INFECTION; LIVESTOCK; MOLECULAR DYNAMICS; PASSIVE IMMUNIZATION; PATHOGENESIS; POPULATION SIZE; QUANTITATIVE ANALYSIS; SEROLOGY; STOCHASTIC MODEL; TIME;

ALGORITHMS; ANIMALS; CATTLE; CATTLE DISEASES; COMPUTER SIMULATION; IMMUNITY; MODELS, IMMUNOLOGICAL; POPULATION DYNAMICS; PROBABILITY; STOCHASTIC PROCESSES; TIME FACTORS;

EID: 33644508952     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2005.12.027     Document Type: Article

References (20)

1. H. Houe Epidemiology of bovine viral diarrhea virus Vet. Clin. North Am. Food Anim. Pract. 11 1995 521
2. D.J. Nokes, E.A. Okiro, M. Ngama, L.J. White, R. Ochola, P.D. Scott, P.A. Cane, and G.F. Medley RSV epidemiology in a birth cohort in Kilifi District, Kenya: infection in the first year of life J. Infect. Dis. 190 2004 1828
3. O. Bahri, M. Ben Halima, M. Ben Ghorbal, K. Dali, Z. Arrouji, S. Khammassi, H. Triki, and A. Slim Measles surveillance and control in Tunisis: 1979-2000 Vaccine 21 2003 440
4. S.H. Maloo, W. Thorpe, G. Kioo, P. Ngumi, G.J. Rowlands, and B.D. Perry Seroprevalences of vector-transmitted infections of small-holder dairy cattle in coastal Kenya Prev. Vet. Med. 52 2001 1
5. B.T. Grenfell, and R.M. Anderson The estimation of age-related rates of infection from case notifications and serological data J. Hyg. Camb. 95 1985 419
6. A.E. Ades, and D.J. Nokes Modeling age-specific and time-specific incidence from seroprevalence - toxoplasmosis Am. J. Epidemiol. 137 1993 1022
7. M.J. Cox, R.S. Azevedo, P.A. Cane, E. Massad, and G.F. Medley Seroepidemiological study of respiratory syncytial virus in Sao Paulo State Brazil. J. Med. Virol. 55 1998 234
8. N.J. Gay Analysis of serological surveys using mixture models: application to a survey of parvovirus B19 Stat. Med. 15 1996 1567
9. N.J. Gay, A.J. Vyse, F. Enquselassie, W. Nigatu, and D.J. Nokes Improving sensitivity of oral fluid testing in IgG prevalence studies: application of mixture models to a rubella antibody survey Epidemiol. Infect. 130 2003 285
10. P.F.M Teunis, O.G. Van Der Heijden, H.E. De Melker, J.F.P. Schellekens, F.G.A. Versteegh, and M.E.E. Kretzschmar Kinetics of the IgG antibody response to pertussis toxin after infection with B. pertussis Epidemiol. Infect. 129 2002 479
11. K. Glass, and B.T. Grenfell Antibody dynamics in childhood diseases: waning and boosting of immunity and the impact of vaccination J. Theor. Biol. 221 2003 121
12. M.E.J. Woolhouse, D.T. Haydon, A. Pearson, and R.P. Kitching Failure of vaccination to prevent outbreaks of foot-and-mouth disease Epidemiol. Infect. 116 1996 363
13. L.J. White, and G.F. Medley Microparasite population dynamics and continuous immunity Proc. R. Soc. Lond. B 265 1998 1977
14. D. Clancy, and N.P. French A stochastic model for disease transmission in a managed herd, motivated by Neospora caninum amongst dairy cattle Math. Biosci. 170 2001 113
15. F. Boelaert, P. Biront, B. Soumare, M. Dispas, E. Vanopdenbosch, J.P. Vermeersch, A. Raskin, J. Dufey, D. Berkvens, and P. Kerkhofs Prevalence of bovine herpesvirus-1 in the Belgian cattle population Prev. Vet. Med. 45 2000 285
16. I. Nåsell Stochastic models of some endemic infections Math. Biosci. 179 2002 1
17. K. MacKenzie, and S.C. Bishop Developing stochastic models to quantify the dynamics of infectious diseases in domestic livestock J. Anim. Sci. 79 2001 2047
18. H. Andersson, and T. Britton Stochastic epidemics in dynamic populations: quasi-stationary and extinction J. Math. Biol. 41 2000 559
19. C. Cohen, M. Artois, and D. Pontier A discrete-event computer model of feline herpes virus within cat populations Prev. Vet. Med. 45 2000 163
20. J.P.C. Kleijnen Verification and validation of simulation models Eur. J. Oper. Res. 82 1995 145