Carrier-borne epidemic models incorporating population mobility

Mathematical Biosciences

Volumn 132, Issue 2, 1996, Pages 185-204

  Clancy, Damian ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DISEASE CARRIER; DISEASE TRANSMISSION; EPIDEMIC; INFECTION; MATHEMATICAL MODEL; POPULATION DYNAMICS; STOCHASTIC MODEL;

DISEASE MODEL; EPIDEMIC MODEL; INFECTION; MOBILITY;

EID: 0029662494     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/0025-5564(95)00063-1     Document Type: Article

References (13)

1. F. G. Ball, Dynamic population epidemic models, Math. Biosci. 107:299-324 (1991).
2. N. T. J. Bailey, The Mathematical Theory of Infectious Diseases and Its Applications, 2nd ed., Griffin, London, 1975.
3. F. G. Ball and D. Clancy, The final size and severity of a generalised stochastic multitype epidemic model, Adv. Appl. Probab. 25:721-736 (1993).
4. D. Clancy, Some comparison results for multitype epidemic models, J. Appl. Probab. 31:9-21 (1994).
5. G. H. Weiss, On the spread of epidemics by carriers, Biometrics 21:481-491 (1965).
6. R. Bellman, Introduction to Matrix Analysis, 2nd ed., McGraw-Hill, New York, 1970.
7. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications, Academic, New York, 1979.
8. C. Lefèvre and M. Malice, Comparisons for carrier-borne epidemics in heterogeneous and homogeneous populations, J. Appl. Probab. 25:663-674 (1988).
9. N. Becker and I. Marschner, The effect of heterogeneity on the spread of disease, in Stochastic Processes in Epidemic Theory, (Lect. Notes Biomath. 86) J. P. Gabriel, C. Lefèvre, and P. Picard, Eds., Springer-Verlag, Berlin, 1990, pp. 71-85.
10. D. Stoyan, Comparison Methods for Queues and Other Stochastic Models, Wiley, New York, 1983.
11. D. Clancy, Epidemic models in heterogeneous populations, Ph.D. Thesis, Univ. Nottingham, 1993.
12. M. J. Faddy, A note on the behaviour of deterministic spatial epidemics, Math. Biosci. 80:19-22 (1986).
13. T. G. Kurtz, Approximations of Population Processes, SIAM, Philadelphia, 1981.