Collective epidemic models

Mathematical Biosciences

Volumn 134, Issue 1, 1996, Pages 51-70

  Lefèvre, Claude ^a,b   Picard, Philippe ^a,b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DISEASE SEVERITY; EPIDEMIC; INFECTION CONTROL; INFECTION SENSITIVITY; MATHEMATICAL MODEL; PROBABILITY; STATISTICAL ANALYSIS; STOCHASTIC MODEL;

EID: 17744414843     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/0025-5564(95)00107-7     Document Type: Article

References (12)

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2. N. T. J. Bailey, The Mathematical Theory of Infectious Diseases and Its Applications, Griffin, London, 1975.
3. P. Picard and C. Lefèvre, A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes, Adv. Appl. Probab. 22:269-294 (1990).
4. D. Ludwig, Final size distributions for epidemics, Math. Biosci. 23:33-46 (1975).
5. B. Von Bahr and A. Martin-Löf, Threshold limit theorems for some epidemic processes, Adv. Appl. Probab. 12:319-349 (1980).
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8. A. Kissami, C. Lefèvre, and P. Picard, A (partially) exchangeable model for the final outcome of an epidemic, Working Paper, Institut de Statistique, Univ. Libre de Bruxelles, 1993.
9. F. Downton, The ultimate size of carrier-borne epidemics, Biometrika 55:277-289 (1968).
10. P. Picard and C. Lefèvre, The dimension of Reed-Frost epidemic models with randomized susceptibility levels, Math. Biosci. 107:225-233 (1991).
11. G. Scalia-Tomba, On the asymptotic final size distribution of epidemics in heterogeneous populations, in Stochastic Processes in Epidemic Theory (Lect. Notes Biomath. 86), J.-P. Gabriel, C. Lefèvre, and P. Picard, Eds., Springer, New York, 1990, pp. 189-196.
12. C. Lefèvre and P. Picard, On the formulation of discrete-time epidemic models, Math. Biosci. 95:27-35 (1989).