A multigroup model for a heterosexually transmitted disease

Mathematical Biosciences

Volumn 224, Issue 2, 2010, Pages 87-94

  Edwards, R ^a   Kim, Sehjeong ^a   van den Driessche, Pauline ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Disease control; Multigroup model; Sexually transmitted disease; Star network; Type reproduction number

Indexed keywords

MULTI-GROUP; MULTIGROUP MODEL; SEXUALLY TRANSMITTED DISEASE; STAR NETWORK; TYPE REPRODUCTION NUMBER;

DISEASES;

DISEASE CONTROL;

DISEASE CONTROL; DISEASE TREATMENT; GRAPHICAL METHOD; NUMERICAL MODEL; PARAMETERIZATION; SEXUALLY TRANSMITTED DISEASE;

ARTICLE; CONDOM; CONTROLLED STUDY; DISEASE TRANSMISSION; GONORRHEA; HETEROSEXUALITY; INFECTION CONTROL; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; REPRODUCTION; SEX DIFFERENCE; SEXUAL BEHAVIOR; SEXUAL EDUCATION; SEXUALLY TRANSMITTED DISEASE; UNITED STATES;

ALGORITHMS; BASIC REPRODUCTION NUMBER; COMPUTER SIMULATION; FEMALE; GONORRHEA; HETEROSEXUALITY; HUMANS; MALE; MODELS, BIOLOGICAL; SEXUAL BEHAVIOR; SEXUALLY TRANSMITTED DISEASES; UNITED STATES;

UNITED STATES;

EID: 77249150892     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2009.12.008     Document Type: Article

References (15)

1. Lloyd A.L., and May R.M. Spatial heterogeneity in epidemic models. J. Theoret. Biol. 179 (1996) 1
2. Yorke J.A., Hethcote H.W., and Nold A. Dynamics and control of the transmission of gonorrhea. Sex. Transm. Dis. 5 (1978) 51
3. Hethcote H.W., and Yorke J.A. Gonorrhea Transmission Dynamics and Control (1984), Springer-Verlag, Berlin, Germany
4. os for subgroups in heterogeneous SIS and SI models. In: Mollison D. (Ed). Epidemic Models: Their Structure and Relation to Data (1995), Cambridge University Press, Cambridge, England
5. Brunham R. Core group theory: a central concept in STD epidemiology. Sex. Transm. Dis. 10 (1997) 34
6. Aral S.O. Behavioural aspects of sexually transmitted diseases: core groups and bridge populations. Sex. Transm. Dis. 27 (2000) 327
7. Alary M. Gonorrhea: epidemiology and control strategies. Can. J. Human Sexual. 6 (1997) 151
8. Arino J., Brauer F., van den Driessche P., Watmough J., and Wu J. A model for influenza with vaccination and antiviral treatment. J. Theoret. Biol. 253 (2008) 118
9. Roberts M.G., and Heesterbeek J.A.P. A new method for estimating the effort required to control an infectious disease. Proc. R. Soc. B 270 (2003) 1359
10. Heesterbeek J.A.P., and Roberts M.G. The type-reproduction number T in models for infections disease control. Math. Biosci. 206 (2007) 3
11. o. J.R. Soc. Interface 4 (2007) 949
12. Lajmanovich A., and Yorke J.A. A deterministic model for gonorrhea in a nonhomogeneous population. Math. Biosci. 28 (1976) 221
13. Diekmann O., and Heesterbeek J.A.P. Mathematical Epidemiology of Infectious Disease: Model Building, Analysis and Interpretation. Wiley Series in Mathematical and Computational Biology (2000), Wiley, Chichester, England
14. van den Driessche P., and Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180 (2002) 221
15. Horn R.A., and Johnson C.R. Matrix Analysis (1985), Cambridge University Press, New York, USA