A role for system dynamics in modelling the spread of AIDS

System dynamics has a role to play in modelling the spread of infectious diseases. Its utility for this purpose is illustrated through a model of the spread of AIDS in the homosexual population of the UK. By virtue of its constituent diagramming tools, style of equation formulation and special-purpose computer software, system dynamics offers a means of rendering epidemiological models more transparent to the client than many of the mathematical models published to date. In respect of the AIDS spread model, the relative ease of adding (i) a heterogeneous sexual-activity profile, and (ii) a variable infectivity profile onto a base model, is described. Finally, results are reported from an optimisation experiment applied to the most complex model. The 'best fit' obtained allows an estimate of the (unknown) HIV population to be made.

[1]  Roy M. Anderson,et al.  The Transmission Dynamics of Human Immunodeficiency Virus (HIV) , 1988 .

[2]  J. Levy,et al.  Sexual practices and risk of infection by the human immunodeficiency virus. The San Francisco Men's Health Study. , 1987, JAMA.

[3]  Roy M. Anderson,et al.  Transmission dynamics of HIV infection , 1987, Nature.

[4]  R. Geoffrey Coyle The use of optimization methods for policy design in a system dynamics model , 1985 .

[5]  J. Nielsen,et al.  Temporal relation of antigenaemia and loss of antibodies to core antigens to development of clinical disease in HIV infection. , 1987, British medical journal.

[6]  J. Kalbfleisch,et al.  Estimating the incubation period for AIDS patients , 1988, Nature.

[7]  F. Brun-Vézinet,et al.  Transmission of lymphadenopathy-associated virus/human T lymphotropic virus type III in sexual partners. Seropositivity does not predict infectivity in all cases. , 1986, The American journal of medicine.

[8]  R. May,et al.  The transmission dynamics of human immunodeficiency virus (HIV). , 1988, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[9]  L Billard,et al.  The distribution of the incubation period for the acquired immunodeficiency syndrome (AIDS) , 1988, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[10]  R M May,et al.  Epidemiological parameters of HIV transmission. , 1988, Nature.

[11]  E. F. Wolstenholme,et al.  The basic concepts of system dynamics optimization , 1988 .

[12]  E. F. Wolstenholme,et al.  A Case Study in System Dynamics Optimization , 1989 .

[13]  Norman T. J. Bailey,et al.  The Mathematical Theory of Infectious Diseases , 1975 .

[14]  R. Anderson,et al.  Distributed incubation and infectious periods in models of the transmission dynamics of the human immunodeficiency virus (HIV). , 1988, IMA journal of mathematics applied in medicine and biology.