An SEIS epidemic model with transport-related infection

Journal of Theoretical Biology

Volumn 247, Issue 3, 2007, Pages 507-524

  Wan, Hui ^a   Cui, Jingan ^a  

^a NANJING NORMAL UNIVERSITY   (China)

Author keywords

Basic reproduction number; SEIS epidemic model; Stability; Transport related infection

Indexed keywords

DISEASE SPREAD; EPIDEMIC; INFECTIOUS DISEASE; MODELING; TRANSPORTATION;

ANALYTIC METHOD; ARTICLE; DISEASE MODEL; DISEASE SURVEILLANCE; DISEASE TRANSMISSION; EPIDEMIC; HUMAN; INFECTION; MATHEMATICAL MODEL; POPULATION SIZE; PRIORITY JOURNAL; TRAVEL;

CARRIER STATE; COMMUNICABLE DISEASE CONTROL; COMMUNICABLE DISEASES; DISEASE OUTBREAKS; DISEASE SUSCEPTIBILITY; DISEASE TRANSMISSION, HORIZONTAL; ENDEMIC DISEASES; HUMANS; MODELS, STATISTICAL; POPULATION DYNAMICS; TRAVEL;

EID: 34250623687     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2007.03.032     Document Type: Article

References (16)

1. Arino J., and van den Driessche P. A multi-city epidemic model. Math. Popul. Stud. 10 (2003) 175-193
2. Castillo-Chavez C., and Feng Z. To treat or not to treat: the case of tuberculosis. J. Math. Biol. 35 (1997) 629-656
3. Cui J., Takeuchi Y., and Saito Y. Spreading disease with transport-related infection. J. Theor. Biol. 239 (2006) 376-390
4. 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
5. Fulford G.R., Roberts M.G., and Heesterbeek J.A.P. The metapopulation dynamics of an infectious disease: tuberculosis in possums. Theor. Popul. Biol. 61 (2002) 15-29
6. Liu X., and Takeuchi Y. Spread of disease with transport-related infection and entry screening. J. Theor. Biol. 242 (2006) 517-528
7. Longini I. A mathematical model for predicting the geographic spread of new infectious agents. Math. Biosci. 90 (1988) 367-383
8. Rvachev L., and Longini I. A mathematical model for the global spread of influenza. Math. Biosci. 75 (1985) 3-22
9. Sattenspiel L., and Dietz K. A structured epidemic model incorporating geographic mobility among regions. Math. Biosci. 128 (1995) 71-91
10. 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
11. 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
12. Takeuchi Y., Liu X., and Cui J. Global dynamics of SIS models with transport-related infection. J. Math. Anal. Appl. 329 (2007) 1460-1471
13. 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
14. Wang W., and Mulone G. Threshold of disease transmission in a patch environment. J. Math. Anal. Appl. 285 (2003) 321-335
15. Wang W., and Zhao X.-Q. An epidemic model in a patchy environment. Math. Biosci. 190 (2004) 97-112
16. Wang W., and Zhao X.-Q. An age-structured epidemic model in a patchy environment. SIAM J. Appl. Math. 65 (2005) 1597-1614