Mass-action and system analysis of infection transmission

Ecological Paradigms Lost

Volumn , Issue , 2005, Pages 143-155

  Koopman, James S ^a  

^a UNIVERSITY OF MICHIGAN SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84882394222     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-012088459-9/50009-1     Document Type: Chapter

References (18)

1. Ball F., Mollison D., Scalia-Tomba G. Epidemics with two levels of mixing. Ann. Appl. Prob. 1997, 7:46-89.
2. Borguna M., Pastor-Sattoras R., Vespignani A. Absence of epidemic threshold in scale-free networks with connectivity correlations. Phys. Rev. E 2003, 90:028701.
3. Grenfell B., Harwood J. (Meta)population dynamics of infectious diseases. TREE 1997, 12:395-399.
4. Haas C.N., Rose J.B., Gerba C.P. Quantitative Microbial Risk Assessment 1999, Wiley, New York.
5. Jacquez J.A., Koopman J.S., Simon C.P. Structured mixing: Heterogeneous mixing by the definition of activity groups. Mathematical and Statistical Approaches to AIDS Epidemiology 1989, 301-315. Springer-Verlag, New York. C. Castillo-Chavez (Ed.).
6. Koopman J. Modeling infection transmission. Annu. Rev. Publ. Health 2004, 25:303-326.
7. Koopman J., Simon C., Jacquez J., Joseph J., Sattenspiel L., Park T. Sexual partner selectiveness effects on homosexual HIV transmission dynamics. J. Acqu. Imm. Def. Syndr. 1988, 1:486-504.
8. Koopman J.S., Chick S.E., Riolo C.S., Adams A.L., Wilson M.L., Becker M.P. Modeling contact networks and infection transmission in geographic and social space using GERMS. Sex. Transm. Dis. 2000, 27:617-626.
9. Koopman J.S., Chick S.E., Simon C.P., Riolo C.S., Jacquez G. Stochastic effects on endemic infection levels of disseminating versus local contacts. Math. Biosci. 2002, 180:49-71.
10. Lakatos I. The methodology of Scientific Research Programmes 1980, Cambridge University Press, New York.
11. Liljeros F., Edling C.R., Nunes-Amaral L.A., Stanley H.E., Aberg Y. The web of human sexual contacts. Nature 2001, 411:907-908.
12. McCallum H., Barlow N., Hone J. How should pathogen transmission be modelled?. TREE 2001, 16:295-300.
13. Newman M.E.J. Spread of epidemic disease on networks. Phys. Rev. E 2002, 66:016128.
14. Newman M.E.J. Mixing patterns in networks. Phys. Rev. E 2003, 67:026126.
15. Riggs T.J., Koopman J.S. A stochastic model for vaccine trials of endemic infections using group randomization. Epidemiol. Infect. 2004, 132:927-938.
16. Sander L.M., Warren C.P., Sokoloff I.M., Simon C.P., Koopman J.S. Percolation on heterogeneous networks as a model for epidemics. Math. Biosci. 2002, 180:293-305.
17. Watts D.J., Strogatz S.H. Collective dynamics of "small-world" networks. Nature 1998, 393:440-442.
18. Yorke J.A., Hethcote H.W., Nold A. Dynamics and control of transmission of gonorrhea. Sex. Transm. Dis. 1978, 5.