Dynamics of an SIQS epidemic model with transport-related infection and exit-entry screenings

Journal of Theoretical Biology

Volumn 285, Issue 1, 2011, Pages 25-35

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

^a SOUTHWEST UNIVERSITY   (China)

^b SHIZUOKA UNIVERSITY   (Japan)

Author keywords

Permanence; Screening; SIQS epidemic model; Stability; Transport related infection

Indexed keywords

DISEASE CONTROL; DISEASE SPREAD; DISEASE TRANSMISSION; DISEASE VECTOR; DISPERSAL; INFLUENZA; SEVERE ACUTE RESPIRATORY SYNDROME; THEORETICAL STUDY;

ARTICLE; DISEASE TRANSMISSION; ENTRY SCREENING; EPIDEMIC; EXIT SCREENING; INFECTION; MATHEMATICAL ANALYSIS; POPULATION DENSITY; PRIORITY JOURNAL; PROBABILITY; SCREENING; STATISTICAL MODEL; TRANSPORT RELATED INFECTION;

COMMUNICABLE DISEASES; DISEASE TRANSMISSION, INFECTIOUS; EPIDEMICS; HUMANS; MASS SCREENING; MODELS, BIOLOGICAL; TRANSPORTATION; TRAVEL;

EID: 79960340326     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2011.06.025     Document Type: Article

References (19)

1. Allen L.J.S., Bolker B.M., Lou Y., Nevai A.L. Asymptotic profiles of the steady states for an SIS epidemic disease patch model. SIAM J. Appl. Math. 2007, 67:1283-1309.
2. Arino J., Jordan R., van den Driessche P. Quarantine in a multi-species epidemic model with spatial dynamics. Math. Biosci. 2007, 206:46-60.
3. Chen K. SARS in Taiwan: an overview and lessons learned. Int. J. Infect. Dis. 2005, 9:77-85.
4. Cui J., Takeuchi Y., Saito Y. Spreading disease with transport-related infection. J. Theor. Biol. 2006, 239:376-390.
5. Diekmann O., Heesterbeek J.A.P., 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. 1990, 28:365-382.
6. Leenheer P.D., Smith H.L. Virus dynamics: a global analysis. SIAM J. Appl. Math. 2003, 63:1313-1327.
7. Li J., Ma Z., Zhang F. Stability analysis for an epidemic model with stage structure. Nonlinear Anal. RWA. 2008, 9:1672-1679.
8. Li M.Y., Graef J., Wang L., Karsai J. Global dynamics of a SEIR model with varying total population size. Math. Biosci. 1999, 160:191-213.
9. Li M.Y., Wang L. A criterion for stability of matrices. J. Math. Anal. Appl. 1998, 225:249-264.
10. Liu X., Takeuchi Y. Spread of disease with transport-related infection and entry screening. J. Theor. Biol. 2006, 242:517-528.
11. Liu J., Zhou Y. Global stability of an SIRS epidemic model with transport-related infection. Chaos, Solitons Fractals 2009, 40:145-158.
12. Sattenspiel L., Dietz K. A structured epidemic model incorporating geographic mobility among regions. Math. Biosci. 1995, 128:71-91.
13. Sattenspiel L., Herring D.A. Structured epidemic models and the spread of influenza in the central Canada subarctic. Human Biol. 1998, 70:91-115.
14. Takeuchi Y., Liu X., Cui J. Global dynamics of SIS models with transport-related infection. J. Math. Anal. Appl. 2007, 329:1460-1471.
15. Thieme H.R. Persistence under relaxed point-dissipativity (with application to an endemic model). SIAM J. Math. Anal. 1993, 24:407-435.
16. van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 2002, 180:29-48.
17. Wan H., Cui J. An SEIS epidemic model with transport-related infection. J. Theor. Biol. 2007, 247:507-524.
18. Wang W., Mulone G. Threshold of disease transmission in a patch environment. J. Math. Anal. Appl. 2003, 285:321-335.
19. Wang W., Zhao X. An epidemic model in a patchy environment. Math. Biosci. 2004, 190:97-112.