The application of simulation models and systems analysis in epidemiology: a review

Hurd, H.S. and Kaneene, J.B., 1993. The application of simulation models and systems analysis in epidemiology: a review. Prey. Vet. Med., 15: 81-99. A method for classifying epidemiologic process models is presented along with a brief history of epidemiologic modeling. Epidemiologic models are distinguished as being associative or process models. Associative models attempt to establish etiology by observing the associations of various risk factors with the occurrence of disease. Process models attempt to quantitatively describe the course of disease in a dynamic population. This begins with a hypothesis regarding the underlying structural processes involved. A process model can be classified further according to: ( 1 ) how it models the effect of chance; (2) application perspective; ( 3 ) the mathematical treatment of time; (4) the computational treatment of individuals; ( 5 ) the method for determining a solution. The literature was reviewed for examples of applied epidemiologic process models. Examples are cited and classified according to the classification method proposed in this paper. Suggestions for appropriate applications of various models and further research are made.

[1]  Peter J. Barnes,et al.  Isoniazid for the Tuberculin Reactor: Take it or Leave it , 1988 .

[2]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[3]  Norman T. J. Bailey,et al.  Systems Aspects of Health Planning , 1976 .

[4]  J T Sørenson Examining the impact of different health levels and management strategies on dairy heifer production through computer simulation. , 1988, Acta veterinaria Scandinavica. Supplementum.

[5]  N. Bailey,et al.  The Biomathematics of Malaria , 1984 .

[6]  T. Carpenter,et al.  Benefit-cost analysis of a disease eradication program in the United States: a case study of Mycoplasma meleagridis in turkeys. , 1980 .

[7]  Denis Mollison,et al.  Spatial Contact Models for Ecological and Epidemic Spread , 1977 .

[8]  I. Nåsell,et al.  A hybrid model of schistosomiasis with snail latency. , 1976, Theoretical population biology.

[9]  B Cvjetanović,et al.  Epidemiological model of typhoid fever and its use in the planning and evaluation of antityphoid immunization and sanitation programmes. , 1971, Bulletin of the World Health Organization.

[10]  Joel E. Cohen,et al.  MATHEMATICAL MODELS OF SCHISTOSOMIASIS , 1977 .

[11]  G. Macdonald,et al.  Theory of the eradication of malaria. , 1956, Bulletin of the World Health Organization.

[12]  Charles Reveller,et al.  An Optimization Model of Tuberculosis Epidemiology , 1969 .

[13]  E. Knox,et al.  Strategy for rubella vaccination. , 1980, International journal of epidemiology.

[14]  Stephen E. Fienberg,et al.  A Celebration of Statistics , 1985 .

[15]  H PAUL Control of infectious disease. , 1953, Medicine illustrated.

[16]  Herbert W. Hethcote,et al.  Gonorrhea modeling: a comparison of control methods , 1982 .

[17]  S. Brøgger,et al.  Systems analysis in tuberculosis control: a model. , 1967, The American review of respiratory disease.

[18]  J Tsevat,et al.  Isoniazid for the tuberculin reactor: take it or leave it. , 1988, The American review of respiratory disease.

[19]  J. New,et al.  A study of the potential economic impact of foot and mouth disease in the United States. , 1979, Proceedings, annual meeting of the United States Animal Health Association.

[20]  M E King,et al.  Use of modeling in infectious disease epidemiology. , 1988, American journal of epidemiology.

[21]  E Ackerman,et al.  Stochastic two-agent epidemic simulation models for a community of families. , 1971, American journal of epidemiology.

[22]  R. Shonkwiler,et al.  A validation study of a simulation model for common source epidemics. , 1986, International journal of bio-medical computing.

[23]  H. E. Soper The Interpretation of Periodicity in Disease Prevalence , 1929 .

[24]  Norman T. J. Bailey,et al.  Systems Aspects of Health Planning , 1977 .

[25]  R. S. Morris,et al.  A computer simulation model of ovine fascioliasis , 1981 .

[26]  M. Hugh-jones,et al.  A simulation spatial model of the spread of foot-and-mouth disease through the primary movement of milk , 1976, Journal of Hygiene.

[27]  Sørenson Jt Examining the impact of different health levels and management strategies on dairy heifer production through computer simulation. , 1988 .

[28]  M GREENWOOD,et al.  The statistical study of infectious diseases. , 1946, Journal of the Royal Statistical Society. Series A.

[29]  R. D. Smith,et al.  Babesia bovis: computer simulation of the relationship between the tick vector, parasite, and bovine host. , 1983, Experimental parasitology.

[30]  G Macdonald,et al.  The dynamics of helminth infections, with special reference to schistosomes. , 1965, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[31]  Aalt A. Dijkhuizen,et al.  A stochastic model for the simulation of management decisions in dairy herds, with special reference to production, reproduction, culling and income , 1986 .

[32]  K. Wickwire Mathematical models for the control of pests and infectious diseases: a survey. , 1977, Theoretical population biology.

[33]  I M Longini,et al.  Models for the statistical analysis of infectious disease data. , 1988, Biometrics.

[34]  D. J. Bradley,et al.  The Control of Infectious Disease Group Report , 1982 .

[35]  A R Hinman,et al.  Measles and models. , 1983, International journal of epidemiology.

[36]  Harold Chestnut,et al.  Systems Engineering Tools , 1965 .

[37]  D C Montgomery,et al.  A computer simulation model of a rubella epidemic. , 1974, Computers in biology and medicine.

[38]  Preben Willeberg,et al.  Veterinary epidemiology: Principles and methods: by S.W. Martin, A.H. Meek and P. Willeberg. Iowa State University Press, Ames, IA 50010, 1987, 343 pp., price US$30.95 (plus US$1.50 postage/handling for first copy; US$0.75 for additional copies), ISBN 0-8138-1856-7 , 1989 .

[39]  T Habtemariam,et al.  A computer based decision-making model for poultry inspection. , 1983, Journal of the American Veterinary Medical Association.

[40]  Ingemar Nåsell,et al.  The transmission dynamics of schistosomiasis , 1973 .

[41]  B. Chomel,et al.  [Veterinary epidemiology]. , 1991, Revue d'epidemiologie et de sante publique.

[42]  I. Longini,et al.  An optimization model for influenza A epidemics , 1978 .

[43]  I M Longini,et al.  Predicting the global spread of new infectious agents. , 1986, American journal of epidemiology.

[44]  H P Riemann The future of veterinary epidemiology and economics. , 1988, Acta veterinaria Scandinavica. Supplementum.

[45]  R. May,et al.  Population Biology of Infectious Diseases , 1982, Dahlem Workshop Reports.

[46]  Maurice S. Bartlett,et al.  Stochastic Processes or the Statistics of Change , 1953 .

[47]  K. Revfeim,et al.  A decision-oriented simulation for comparing hydatid control strategies. , 1980 .

[48]  John W. Sutherland,et al.  Systems: Analysis, administration, and architecture , 1975 .

[49]  Richard E. Howitt,et al.  The benefit—cost analysis of alternative strategies for the control of bovine trypanosomiasis in Ethiopia , 1983 .

[50]  R M May,et al.  The invasion, persistence and spread of infectious diseases within animal and plant communities. , 1986, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[51]  Peter Checkland,et al.  Systems Thinking, Systems Practice , 1981 .

[52]  H T Aaler,et al.  A dynamic model for the epidemiology of tuberculosis. , 1968, The American review of respiratory disease.

[53]  R. Ross,et al.  Prevention of malaria. , 2012, BMJ.

[54]  Tsegaye Habtemariam,et al.  Evaluation of trypanosomiasis control alternatives using an epidemiologic simulation model , 1983 .

[55]  J. Yorke,et al.  Gonorrhea Transmission Dynamics and Control , 1984 .

[56]  R. W. Hiorns,et al.  The mathematical theory of the dynamics of biological populations : based on a conference organised by the Institute of Mathematics and Its Applications in association with the Institute of Biology , 1975 .

[57]  A. Langworthy,et al.  An influenza simulation model for immunization studies. , 1976, American journal of epidemiology.

[58]  George Gettinby,et al.  Comparing control strategies for parasitic gastroenteritis in lambs grazed on previously contaminated pasture - a network modeling approach , 1985 .

[59]  W. A. Geering,et al.  Veterinary epidemiology and economics. Proceedings of the Second International Symposium on Veterinary Epidemiology and Economics, held at Canberra, Australia, 7-11 May 1979. , 1980 .

[60]  J J Angulo,et al.  Interdisciplinary approaches in epidemic studies--II: Four geographic models of the flow of contagious disease. , 1987, Social science & medicine.

[61]  R. L. Kitching Systems Ecology: An Introduction to Ecological Modelling , 1983 .

[62]  Paul Sutmoller Computer simulation of foot-and-mouth disease vaccine potency tests , 1986 .

[63]  D L Levy,et al.  The future of measles in highly immunized populations. A modeling approach. , 1984, American journal of epidemiology.

[64]  Peter Randerson The use of mathematical models in ecology , 1973 .

[65]  T E Carpenter,et al.  Economics of Brucella ovis control in sheep: epidemiologic simulation model. , 1987, Journal of the American Veterinary Medical Association.

[66]  M. Pirlot,et al.  A stochastic model for the simulation of drafting , 1991 .

[67]  M Susser,et al.  Epidemiology in the United States after World War II: the evolution of technique. , 1985, Epidemiologic reviews.

[68]  T E Carpenter,et al.  Dynamic programming approach to evaluating the economic impact of disease on production. , 1988, Acta veterinaria Scandinavica. Supplementum.

[69]  S. Serxner,et al.  Time series designs of potential interest to epidemiologists. , 1987, American journal of epidemiology.

[70]  D J Nokes,et al.  The use of mathematical models in the epidemiological study of infectious diseases and in the design of mass immunization programmes , 1988, Epidemiology and Infection.

[71]  Riemann Hp The future of veterinary epidemiology and economics. , 1988 .

[72]  A A Dijkhuizen,et al.  Epidemiological and economic evaluation of foot-and-mouth disease control strategies, using a Markov chain spreadsheet model. , 1988, Acta veterinaria Scandinavica. Supplementum.

[73]  R. Anderson,et al.  The population biology and control of Ascaris lumbricoides in a rural community in Iran. , 1982, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[74]  Valerie Isham,et al.  Mathematical modelling of the transmission dynamics of HIV infection and AIDS (a review) , 1988 .

[75]  David W. Macdonald,et al.  To control rabies: vaccinate foxes , 1980 .

[76]  Saeed Akhtar,et al.  Computer simulation to compare three sampling plans for health and production surveillance in California dairy herds , 1988 .

[77]  I. Nåsell,et al.  On transmission and control of schistosomiasis, with comments on Macdonald's model. , 1977, Theoretical population biology.

[78]  B T Grenfell,et al.  Quantitative investigations of different vaccination policies for the control of congenital rubella syndrome (CRS) in the United Kingdom , 1986, Journal of Hygiene.

[79]  L Sattenspiel Epidemics in nonrandomly mixing populations: a simulation. , 1987, American journal of physical anthropology.

[80]  S C Farrow,et al.  Statistical Approach to Planning an Integrated Haemodialysis/Transplantation Programme , 1971, British medical journal.

[81]  Robert A. Milligan,et al.  Systems Analysis for Designing Reproductive Management Programs to Increase Production and Profit in Dairy Herds , 1981 .

[82]  A. Geser,et al.  The use of mathematical models in the study of the epidemiology of tuberculosis. , 1962, American journal of public health and the nation's health.

[83]  K Dietz,et al.  A malaria model tested in the African savannah. , 1974, Bulletin of the World Health Organization.

[84]  George Gettinby,et al.  The control of a parasitic nematode population in sheep represented by a discrete-time network with stochastic inputs , 1983 .

[85]  R M May,et al.  Helminth infections of humans: mathematical models, population dynamics, and control. , 1985, Advances in parasitology.

[86]  R. May,et al.  Population biology of infectious diseases: Part II , 1979, Nature.

[87]  Albert N. Halter,et al.  A multi-stage stochastic replacement decision model : application to replacement of dairy cows , 1963 .

[88]  Norman T. J. Bailey,et al.  Some Problems in the Statistical Analysis of Epidemic Data. , 1955 .

[89]  J. Barrett,et al.  Monte Carlo simulation of the heterosexual selective spread of the human immunodeficiency virus , 1988, Journal of medical virology.

[90]  R M May,et al.  Vaccination against rubella and measles: quantitative investigations of different policies , 1983, Journal of Hygiene.

[91]  L Papoz,et al.  A simple model relevant to toxoplasmosis applied to epidemiologic results in France. , 1986, American journal of epidemiology.

[92]  P. Fine,et al.  John Brownlee and the Measurement of Infectiousness: An Historical Study in Epidemic Theory , 1979 .

[93]  H. Abbey An examination of the Reed-Frost theory of epidemics. , 1952, Human biology.

[94]  Tsegaye Habtemariam,et al.  An epidemiologic systems analysis model for African trypanosomiasis , 1983 .

[95]  N. Ling The Mathematical Theory of Infectious Diseases and its applications , 1978 .

[96]  S Lemeshow,et al.  A computer simulation of the EPI survey strategy. , 1985, International journal of epidemiology.

[97]  H. Hethcote,et al.  Measles and rubella in the United States. , 1983, American journal of epidemiology.

[98]  Alexander Grey,et al.  The Mathematical Theory of Infectious Diseases and Its Applications , 1977 .

[99]  Oluokun Sb,et al.  Analytical models of the national herd: factors controlling calf-mortality and their effects on the rural economy. , 1988 .

[100]  B Cvjetanović,et al.  Epidemiological models of poliomyelitis and measles and their application in the planning of immunization programmes. , 1982, Bulletin of the World Health Organization.

[101]  Robert A. Milligan,et al.  MODELLING REPRODUCTION IN A HERD OF DAIRY CATTLE , 1980 .

[102]  I. Nåsell,et al.  On eradication of schistosomiasis. , 1976, Theoretical population biology.

[103]  S B Oluokun,et al.  Analytical models of the national herd: factors controlling calf-mortality and their effects on the rural economy. , 1988, Acta veterinaria Scandinavica. Supplementum.

[104]  B Cvjetanović,et al.  Epidemiological model of tetanus and its use in the planning of immunization programmes. , 1972, International journal of epidemiology.

[105]  Klaus Dietz,et al.  Epidemics and Rumours: A Survey , 1967 .

[106]  Mark A. Kramer,et al.  EVALUATION OF A GONORRHEA VACCINE AND OTHER GONORRHEA CONTROL STRATEGIES BASED ON COMPUTER SIMULATION MODELING , 1981 .

[107]  Klaus Dietz,et al.  Mathematical Models for Infectious Disease Statistics , 1985 .

[108]  B T Grenfell,et al.  The epidemiology of mumps in the UK: a preliminary study of virus transmission, herd immunity and the potential impact of immunization , 1987, Epidemiology and Infection.