The dynamics of an infectious disease in a population with birth pulses

Mathematical Biosciences

Volumn 149, Issue 1, 1998, Pages 23-36

  Roberts, M G ^a   Kao, R R ^a  

^a AGRESEARCH   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

BIRTH RATE; DISEASE DYNAMICS; EPIDEMIOLOGY; POPULATION DYNAMICS; TUBERCULOSIS;

BIRTH RATE; CIRCANNUAL RHYTHM; DISEASE TRANSMISSION; ENDEMIC DISEASE; INFECTION; MATHEMATICAL ANALYSIS; NONHUMAN; OPOSSUM; POPULATION DYNAMICS; POPULATION EXPOSURE; REPRODUCTION; REVIEW; SEASONAL VARIATION; TUBERCULOSIS; VETERINARY MEDICINE;

ANIMALIA; DIDELPHIDAE;

EID: 0031750774     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(97)10016-5     Document Type: Article

References (13)

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2. J.A.P. Heesterbeek, M.G. Roberts, Mathematical models for microparasites of wildlife, in: B.T. Grenfell, A.P. Dobson (Eds.), Ecology of Infectious Diseases in Natural Populations, Cambridge University, Cambridge, 1995, p. 90.
3. Roberts M.G., Grenfell B.T. The population dynamics of nematode infections of ruminants: Periodic perturbations as a model for management. IMA J. Math. Appl. Med. Biol. 8:1991;83.
4. Roberts M.G., Heesterbeek J.A.P. The dynamics of nematode infections of farmed ruminants. Parasitology. 110:1995;493.
5. Heesterbeek J.A.P., Roberts M.G. Threshold quantities for helminth infections. J. Math. Biol. 33:1995;415.
6. Heesterbeek J.A.P., Roberts M.G. Threshold quantities for infectious diseases in periodic environments. J. Biol. Sys. 3:1995;779.
7. Roberts M.G. The dynamics of bovine tuberculosis in possum populations, and its eradication or control by culling or vaccination. J. Anim. Ecol. 65:1996;451.
8. Roberts M.G., Jowett J. An SEI model with density dependent demographics and epidemiology. IMA J. Math. Appl. Med. Biol. 13:1996;245.
9. Roberts M.G. The dynamics and control of bovine tuberculosis in possums. IMA J. Math. Appl. Med. Biol. 9:1992;19.
10. S. Busenberg, K. Cooke, Vertically Transmitted Diseases, Springer, Berlin, 1993.
11. Heesterbeek J.A.P., Metz J.A.J. The saturating contact rate in marriage- and epidemic models. J. Math. Biol. 31:1993;529.
12. Diekmann O., Kretzschmar M. Patterns in the effects of infectious diseases on population growth. J. Math. Biol. 29:1991;539.
13. Zhou J., Hethcote H.W. Population size dependent incidence in models for diseases without immunity. J. Math. Biol. 32:1994;809.