Epidemics between Bailey and reed-frost: A stochastic version of the Kermack and McKendrick model

Journal of Biological Systems

Volumn 5, Issue 4, 1997, Pages 489-508

  Gielen, J L W ^a  

^a WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

Arrival times; Epidemics; Final size; Stochastic; Time dependent

Indexed keywords

PHRAGMITES;

EID: 0346652814     PISSN: 02183390     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218339097000308     Document Type: Article

References (8)

1. A. G. McKendrick, Applications of mathematics to medical problems, Proc. Edin. Math. Soc. 44 (1926) pp. 98-130.
2. W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Royal Soc. London Ser. A 115 (1927) pp. 700-721.
3. J. A. J. Metz, The epidemic in a closed population with all susceptibles equally vulnerable; some results for large populations and small initial infections, Acta Biotheoretica 27 (1978) pp. 75-123.
4. N. T. J. Bailey, A simple stochastic epidemic, Biometrika 37 (1950) pp. 139-202.
5. N. T. J. Bailey, The Mathematical Theory of Infectious Diseases and its Applications, 2nd ed. (Griffin, London, 1975).
6. H. Abbey, An examination of the Reed-Frost theory of epidemics, Human Biology 24 (1952) pp. 201-233.
7. D. Ludwig, Final size distributions for epidemics, Math. Biosci. 23 (1975) pp. 33-46.
8. N. G. Becker, Analysis of Infectious Disease Data (Chapman and Hall, London, 1989).