Contact tracing in stochastic and deterministic epidemic models

Mathematical Biosciences

Volumn 164, Issue 1, 2000, Pages 39-64

  Müller, Johannes ^a   Kretzschmar, Mirjam ^b   Dietz, Klaus ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b NATIONAL INSTITUTE FOR PUBLIC HEALTH AND THE ENVIRONMENT   (Netherlands)

Author keywords

Contact tracing; Epidemic models; Galton Watson process; Quasi stationary state; Threshold theorem

Indexed keywords

ARTICLE; DATA ANALYSIS; DISEASE TRANSMISSION; DYNAMICS; EPIDEMIC; MATHEMATICAL MODEL; PROBABILITY; SEXUALLY TRANSMITTED DISEASE; STEADY STATE; STOCHASTIC MODEL; THEORY;

COMMUNICABLE DISEASES; COMPUTER SIMULATION; CONTACT TRACING; DISEASE OUTBREAKS; FEMALE; HUMANS; MALE; MODELS, BIOLOGICAL; PREVALENCE; SEXUALLY TRANSMITTED DISEASES; STOCHASTIC PROCESSES; TUBERCULOSIS;

EID: 0037764863     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(99)00061-9     Document Type: Article

References (18)

1. Anderson R.M., May R.M. Infectious Diseases of Humans. 1991;Oxford Science, Oxford.
2. Greenhalgh D. Optimal control of an epidemic by ring vaccination. Commun. Statist. Stochastic Models. 2:1986;339.
3. J. Müller, B. Schönfisch, M. Kirkilionis, Ring vaccination, Danse Preprint 62/98, 1998.
4. Radcliffe K., Clarke J. Contact tracing - where do we go from here? Sex. Transm. Infect. 74:1998;313.
5. Stoddart H., Noah N. Usefulness of screening large numbers of contacts for tuberculosis: questionaire based review. Br. Med. J. 315:1997;651.
6. Fourie P.B., Becker P.J., Festenstein F., Migliori G.B., Alcaide J., Antunes M., Auregan G., Beyers N., Cavalho J.M., Cruz J.R., Fanning E.A., Gie R., Huong N.D., Leitch A.G. Procedures for developing a simple scoring method based on unsophisticated criteria for screening children for tuberculosis. Int. J. Tuberc. Lung. Dis. 2(2):1998;116.
7. Poulin C., Gyorkos T., Joseph L., Schlech W., Lee S. An epidemic of Hepatitis B among injection drug users in a rural area. Can. J. Publ. Health. 83(2):1992;102.
8. Kretzschmar M., van Duynhoven Y.T.H.P., Severijnen A.J. Modeling prevention strategies for gonorrhea and chlamydia using stochastic network simulations. Am. J. Epidem. 144:1996;306.
9. M. Kretzschmar, R. Welte, J.A.R. van den Hoek, M.J. Postma, A comparative model-based analysis of screening programs for Chlamydia trachomatis infections, submitted.
10. Howell M.R., Kassler W.J., Haddix A. Partner notification to prevent pelvic inflammatory disease in women. Sex. Transm. Dis. 24(5):1997;287.
11. N.T.J. Bailey, The Mathematical Theory of Infectious Diseases and its Applications, Charles Griffin, 1975.
12. Ball F., Donnelly P. Strong approximations for epidemic models. Stoch. Proc. Appl. 55:1995;1.
13. H.W. Hethcote, J.A. Yorke, Gonorrhea Transmission Dynamics and Control, Springer Lecture Notes in Biomathematics, vol. 56, Springer, Berlin, 1984.
14. Granath F., Giesecke J., Scalia-Tomba G., Ramstedt K., Forssman L. Estimation of a preference matrix for women's choice of male sexual partner according to rate of partner change, using partner notification data. Math. Biosci. 107:1991;341.
15. van Deutekom H., Gerritsen J.J.J., van Soolingen D., van Ameijden E.J.C., van Embden J.D.A., Coutinho R.A. A molecular epidemiological approach to studying the transmission of tuberculosis in Amsterdam. Clin. Inf. Dis. 25:1997;1071.
16. Small P.M., Hopewell P.C., Singh S.P., Paz A., Parsonnet J., Ruston D.C., Schecter G.F., Daley C.L., Schoolnik G.K. The epidemiology of tuberculosis in San Francisco. N. Engl. J. Med. 330(24):1994;1703.
17. van Duynhoven Y.T.H.P., Schop W.A., van der Meijden W.I., van de Laar M.J.W. Patient referral outcome in gonorrhoea and chlamydial infections. Sex. Transm. Inf. 74:1998;323.
18. van de Laar M.J.W., Termorshuizen F., van den Hoek J.A.R. Partner referrals by patients with gonorrhea and chlamydial infections. Case finding observations. Sex. Transm. Dis. 24(6):1997;334.