Reproduction rates in multiregion modeling systems for HIV/AIDS

Journal of Regional Science

Volumn 39, Issue 2, 1999, Pages 359-385

  Thomas, Richard ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACQUIRED IMMUNE DEFICIENCY SYNDROME; HUMAN IMMUNODEFICIENCY VIRUS; MEDICAL GEOGRAPHY; METHODOLOGY; MODELING;

HUMAN IMMUNODEFICIENCY VIRUS;

EID: 0032786604     PISSN: 00224146     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9787.00138     Document Type: Article

References (55)

1. Alonso, William. 1978. "A Theory of Movement," in N.M. Hansen (ed.), Human Settlements. Cambridge, MA: Ballinger.
2. Anderson, Roy M. 1988. "The Epidemiology of HIV Infection: Variable Incubation plus Infectious Periods in Sexual Activity," Journal of the Royal Statistical Society A, 151, 66-93.
3. Anderson, Roy M. and Robert M. May. 1991. Infectious Diseases of Humans: Dynamics and Control. Oxford: Oxford University Press.
4. Bailey, Norman J.T. 1975. The Mathematical Theory of Infectious Diseases and Its Applications. High Wycombe: Charles Griffin.
5. Bailey, Norman J.T. and J. Estreicher. 1987. "Epidemic Prediction and Public Health Control, with Special Reference to Influenza and AIDS," Proceedings, World Congress of the Bernoulli Society, 1, 507-516.
6. Ban, R. and David E. Boyce. 1996. Modelling Dynamic Transportation Networks: An Intelligent Transportation System Oriented Approach. Berlin: Springer-Verlag.
7. Baroyan, O.V. and L.A. Rvachev. 1967. "Deterministic Epidemic Models for a Territory with a Transport Network," Kibernetika, 3, 67-74.
8. Bartlett, Morris. S. 1960. Stochastic Population Models in Ecology and Epidemiology. London: Methuen.
9. Bassett, Mary T. and Marvellous Mhloyi. 1991. "Women and AIDS in Zimbabwe: The Making of an Epidemic," International Journal of Health Services, 21, 143-156.
10. de Jong, Mart, C.M. Odo Diekmann, and Hans Heesterbeek. 1995."How Does Transmission of Infection Depend on Population Size?" in D. Mollison (ed.), Epidemic Models: their Structure and Relation to Data, Cambridge: Cambridge University Press, pp. 84-95
11. Diekmann, Odo, Hans Heesterbeek, and J.A.J. Metz. 1990. "A General Model of Sexually Transmitted Disease Epidemiology and Its Implications for Control," Journal of Mathematical Biology, 28, 365-382.
12. Evans, Suzanne P. 1973. "A Relation between the Gravity Model and the Transportation Problem in Linear Programming," Transportation Research, 7, 39-61.
13. Flahault, Antoine and Alain-Jacques Valleron. 1992. "A Method for Assessing the Global Spread of HTV-1 Infection Based on Air Travel," Mathematical Population Studies, 3, 161-171.
14. Gotlieb, Michael S., R. Schroff, H.M. Schanker, Joel D. Weisman, P.T. Fan, R.A. Wolf, and A. Saxon. 1981. "Pneumocystis Carinii Pneumonia and Mucosal Candidiasis in Previously Healthy Homosexual Men: Evidence of a New Acquired Cellular Immunodeficiency," New England Journal of Medicine, 305, 1425-1431.
15. Haggett, Peter. 1994. "Prediction and Predictability in Geographical Systems," Transactions of the Institute of British Geographers, 19, 6-20.
16. 0," unpublished PhD dissertation. Department of Epidemiology, University of Leiden.
17. Hethcote, Herb W. and John A. Yorke. 1984. "Gonorrhea Transmission Dynamics and Control," Lecture Notes in Biomathematics, 56, New York: Springer.
18. Isham, Valerie. 1988. "Mathematical Modelling of the Transmission Dynamics of HIV Infection and AIDS: A Review," Journal of the Royal Statistical Society A, 151, 5-30.
19. Isham, Valerie and Graham F. Medley, eds., 1996. Infectious Diseases of Humans: their Structure and Relation to Data. Cambridge: Cambridge University Press.
20. Jacquez, John A, Carl P. Simon, and James Koopman. 1991. "The Reproduction Number in Deterministic Models of Contagious Diseases," Comments on Theoretical Biology, 2, 159-209.
21. 0s for Subgroups in Heterogeneous SIS and SI Models," in D. Mollison (ed.), Epidemic Models: their Structure and Relation to Data, Cambridge: Cambridge Univesity Press, pp. 279-301.
22. Johnson, Anne, J. Wadsworth, K. Wellings, and J. Field. 1994. Sexual Attitudes and Lifestyles, Oxford: Blackwell Scientific Publishing.
23. Kendall, David G. 1956. "Deterministic and Stochastic Epidemics in Closed Communities," Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 4, 149-165.
24. Kermack, W.O. and A.G. McKendrick. 1927. "Contributions to the Mathematical Theory of Epidemics. Part 1," Proceedings of the Royal Statistical Society A, 115, 700-721.
25. Knox, Edward G., C. MacArthur and K.J. Simons. 1993. Sexual Behaviour and AIDS in Great Britain, London: Her Majesty's Stationary Office.
26. Lajmanovich, A. and John A. Yorke. 1976. "A Deterministic Model for Gonorrhoea in a Nonhomogeneous Population," Mathematical Biosciences, 28, 221-236.
27. Li, W.H., M. Tanimura, and P.M. Sharp. 1988. "Rates and Dates of Divergence between AIDS Virus Nucleotide Sequences," Molecular Biology and Evolution, 54, 313-330.
28. Longini, Ira M., Paul E.M. Fine, and S.B. Thacker. 1986. "Predicting the Global Spread of New Infectious Agents," American Journal of Epidemiology, 123, 383-391.
29. Low-Beer, Daniel, Rand L. Stoneburner, and Andrew Mukulu. 1997. "Empirical Evidence of the Severe but Localised Impact of AIDS on Population Structure," Nature Medicine 3, 553-557.
30. May, Robert M., Roy M. Anderson, and Sally Blower. 1989. "The Epidemiology and Transmission Dynamics of HIV/AIDS," Daedalus, 118, 163-201.
31. Mollison, Denis. 1995. Epidemic Models: Their Structure and Relation to Data, Cambridge: Cambridge University Press.
32. Morris, Martina. 1995. "Data Driven Network Models for the Spread of Infectious Disease," in D. Mollison (ed.), Epidemic Models: Their Structure and Relation to Data, Cambridge: Cambridge University Press. 239-252.
33. Murray, G.D. and Andrew D. Cliff. 1977. "A Stochastic Model for Measles Epidemics in a Multiregion Setting," Transactions of the Institute of British Geographers, New Series, 2, 158-177.
34. Normand, Jacques, David Vlahov, and Lincoln E. Moses, eds., 1995. Preventing HIV Transmission: the Role of Sterile Needles and Bleach, Washington: National Academy Press.
35. Nowak, Martin, Roy M. Anderson, A.R. McLean, T. Wolfs, J. Goudsmit and Robert M. May. 1991. "Antigenic Diversity Thresholds and the Development of AIDS," Science, 254, 963-969.
36. Pederson, Court, Carsten M. Nielson, Bent F. Vestergaard, N. Gersoft, Kim Krogsgaard, and Jens O. Nielson. 1987. "Temporal Relation of Antigenaemia and Loss of Antibodies to Core Antigens to Development of Clinical Disease in HIV Infection," British Medical Journal, 295, 55-58.
37. Peterman, Thomas A., Rand L. Stoneburner, James R. Allen, Harold W. Jaffe, and James W. Curran. 1988. "Risk of HIV Transmission from Heterosexual Adults with Transfusion-Associated Infections," Journal of the American Medical Association, 259, 53-63.
38. Raab, G.M., S.M. Gore, David J. Goldberg, and C.A. Donnelly. 1994. "Bayesian Forecasting of the HIV Epidemic in Scotland," Journal of the Royal Statistical Society A, 157, 17-30.
39. Rosenberg, P.S., H.M. Gail, and R.J. Carroll. 1992. "Estimating HIV Prevalence and Projecting AIDS Incidence in the United States: A Model that Accounts for Therapy and Changes in the Surveillance Definition of AIDS," Statistics in Medicine, 11, 1633-1655.
40. Sen, Ashish and Tony E. Smith. 1996. Gravity Models of Spatial Interaction Behavior. Berlin: Springer-Verlag.
41. Smith, Tony E. 1997. "Notes on a Multiregional Spatial Diffusion Model for HIV/AIDS," Working Paper, Department of Systems Engineering, University of Pennsylvania.
42. Smyth, Fiona M. and Richard W. Thomas. 1996a. "Preventative Action and the Diffusion of HIV/AIDS," Progress in Human Geography, 20, 1-22.
43. _. 1996b. "Controlling HIV/AIDS in Ireland: The Implications for Health Policy of some Epidemic Forecasts," Environment and Planning A, 28, 99-118.
44. Solomon, P.J. 1996. "AIDS: Modeling and Predicting," in V. Isham and G. F. Medley (eds.), Infectious Diseases of Humans. Their Structure and Relation to Data, Cambridge: Cambridge University Press, pp. 407-438.
45. Takayama, A. 1985. Mathematical Economics, Cambridge: Cambridge University Press.
46. Tellier, Luc-Normand and Claude Vertefeuille. 1995. "Understanding Spatial Inertia: Center of Gravity, Population Densities, the Weber Problem, and Gravity Potential," Journal of Regional Science, 35, 155-164.
47. Thomas, Richard W. 1988. "Stochastic Carrier Models for the Simulation of Hodgkin's Disease in a System of Regions," Environment and Planning A, 20, 1575-1601.
48. _. 1990. "Some Spatial Representation Problems in Disease Modeling," Geographical Analysis, 22, 209-223.
49. _. 1992a. Geomedical Systems: Intervention and Control. London: Routledge.
50. _. 1992b. "Space-Time Interactions in Multiregion Disease Modelling," Environment and Planning A, 24, 341-360.
51. _. 1993. "Source Region Effects in Epidemic Disease Modeling: Comparisons between Influenza and HIV," Papers in Regional Science, 72, 257-282.
52. _. 1994. "Forecasting Global HIV/AIDS Dynamics: Modelling Strategies and Preliminary Simulations," Environment and Planning A, 26, 1147-1166.
53. _. 1996a. "Alternative Population Dynamics in Selected HIV/AIDS Modelling Systems: Some Cross-National Comparisons," Geographical Analysis, 28, 108-125.
54. _. 1996b. "Modelling Space-Time HIV/AIDS Dynamics: Applications to Disease Control," Social Science and Medicine, 43, 353-366.
55. Wilson, Alan G. and Robert J. Bennett. 1985. Mathematical Models in Human Geography and Planning. Chichester: Wiley.