Spread of disease with transport-related infection and entry screening

Journal of Theoretical Biology

Volumn 242, Issue 2, 2006, Pages 517-528

  Liu, Xianning ^a,b   Takeuchi, Yasuhiro ^b  

^a SOUTHWEST UNIVERSITY   (China)

^b SHIZUOKA UNIVERSITY   (Japan)

Author keywords

Entry screening; Permanence; Stability; Transport related infection

Indexed keywords

DISEASE CONTROL; DISEASE SPREAD; ENDEMISM; ETIOLOGY; REPRODUCTION;

ARTICLE; DISEASE TRANSMISSION; ENDEMIC DISEASE; INFECTION; MATHEMATICAL MODEL; PERFORMANCE; PRIORITY JOURNAL; SCREENING; STATISTICAL ANALYSIS;

COMMUNICABLE DISEASE CONTROL; COMMUNICABLE DISEASES; ENDEMIC DISEASES; HUMANS; MASS SCREENING; MODELS, BIOLOGICAL; TRAVEL;

EID: 33747184217     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.03.018     Document Type: Article

References (20)

1. Arino J., and van den Driessche P. A multi-city epidemic model. Math. Popul. Stud. 10 (2003) 175-193
2. Brauer F., and van den Driessche P. Models for translation of disease with immigration of infectives. Math. Biosci. 171 (2001) 143-154
3. Chen K., Twu S., et al. SARS in Taiwan: an overview and lessons learned. Int. J. Infect. Dis. 9 (2005) 77-85
4. Cui, J., Takeuchi, Y., Saito, Y., 2006. Spreading disease with transport-related infection. J. Theor. Biol. 239, 376-390.
5. Diekmann O., Heesterbeek J.A.P., and Metz J.A.J. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 28 (1990) 365-382
6. Hethcote H.W. Qualitative analyses of communicable disease models. Math. Biosci. 28 (1976) 335-356
7. James L., Shindo N., Cutter J., Ma S., and Chew S.K. Public health measures implemented during the SARS outbreak in Singapore, 2003. Public Health 120 (2006) 20-26
8. Leenheer P.D., and Smith H.L. Virus dynamics: a global analysis. SIAM J. Appl. Math. 63 (2003) 1313-1327
9. Rvachev L., and Longini I. A mathematical model for the global spread of influenza. Math. Biosci. 75 (1985) 3-22
10. Sattenspiel L., and Dietz K. A structured epidemic model incorporating geographic mobility among regions. Math. Biosci. 128 (1995) 71-91
11. Sattenspiel L., and Herring D.A. Structured epidemic models and the spread of influenza in the central Canada subarctic. Human Biol. 70 (1998) 91-115
12. Sattenspiel L., and Herring D.A. Simulating the effect of quarantine on the spread of the 1918-19 flu in central Canada. Bull. Math. Biol. 65 (2003) 1-26
13. Shaw K. The 2003 SARS outbreak and its impact on infection control practices. Public Health 120 (2006) 8-14
14. Thieme H.R. Persistence under relaxed point-dissipativity (with application to an endemic model). SIAM J. Math. Anal. 24 (1993) 407-435
15. van den Driessche P., and Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180 (2002) 29-48
16. Wang W., and Mulone G. Threshold of disease transmission in a patch environment. J. Math. Anal. Appl. 285 (2003) 321-335
17. Wang W., and Ruan S. Simulating the SARS outbreak in Beijing with limited data. J. Theor. Biol. 227 (2004) 369-379
18. Wang W., and Zhao X.-Q. An epidemic model in a patchy environment. Math. Biosci. 190 (2004) 97-112
19. Wang W., and Zhao X.-Q. An age-structured epidemic model in a patchy environment. SIAM J. Appl. Math. 65 (2005) 1597-1614
20. Wilder-Smith, A., 2006. The severe acute respiratory syndrome: impact on travel and tourism. Travel Med. Infect. Dis. 4, 53-60.