Asymptotic behavior of the final number of susceptible individuals in generalized epidemic processes

Siberian Mathematical Journal

Volumn 37, Issue 4, 1996, Pages 753-763

  Lefevre C ^a   Utev, S A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23944521713     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02104666     Document Type: Article

References (7)

1. N. T. J. Bailey, The Mathematical Theory of Infectious Diseases and Its Applications, Griffin, London (1975).
2. C. Lefèvre, "Stochastic epidemic models for S-I-R infectious diseases: a brief survey of the recent general theory," in: J.-P. Gabriel, C. Lefèvre, and P. Picard (eds.), Stochastic Processes in Epidemic Theory, Springer, Berlin, 1990, pp. 1-12. (Lecture Notes in Biomath.; 86.)
3. C. Lefèvre and S. Utev, "Poisson approximation for the final state of a generalised epidemic process," Ann. Probab., 23, 1139-1162 (1995).
4. C. Lefèvre and S. Utev, Mixed Poisson Approximation in Collective Epidemic Models [Preprint, No. 11], Université Libre de Bruxelles, IS-P (1995).
5. N. H. Bingham, C. M. Goldie, and J. L. Teugels, Regular Variation, Cambridge Univ., Cambridge (1987).
6. F. G. Ball, "A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic mode," Adv. Appl. Prob., 18, No. 2, 289-310 (1986).
7. E. Lukacs, Characteristic Functions [Russian translation], Mir, Moscow (1970).