Emerging disease dynamics in a model coupling within-host and between-host systems

Journal of Theoretical Biology

Volumn 361, Issue , 2014, Pages 141-151

  Cen, Xiuli ^a   Feng, Zhilan ^b   Zhao, Yulin ^a  

^a SUN YAT SEN UNIVERSITY   (China)

^b PURDUE UNIVERSITY   (United States)

Author keywords

Backward bifurcation; Between host dynamics; Coupled systems; Environmentally driven disease; Within host dynamics

Indexed keywords

DISEASE CONTROL; DISEASE SPREAD; EPIDEMIOLOGY; HOST-PARASITE INTERACTION; INFECTIOUS DISEASE; MODELING;

ARTICLE; DISEASE CONTROL; DISEASE TRANSMISSION; HOST PARASITE INTERACTION; HUMAN; INFECTION RATE; LIFE CYCLE STAGE; MATHEMATICAL MODEL; MICROBIAL CONTAMINATION; NONHUMAN; PARASITE ISOLATION; PARASITE LOAD; PRIORITY JOURNAL; TOXOPLASMOSIS; BIOLOGICAL MODEL; COMMUNICABLE DISEASES, EMERGING; IMMUNOLOGY; PHYSIOLOGY; TOXOPLASMA;

COMMUNICABLE DISEASES, EMERGING; HOST-PARASITE INTERACTIONS; HUMANS; MODELS, IMMUNOLOGICAL; TOXOPLASMA; TOXOPLASMOSIS;

EID: 84906237005     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2014.07.030     Document Type: Article

References (24)

1. Boldin B., Diekmann O. Superinfections can induce evolutionarily stable coexistence of pathogens. J. Math. Biol. 2008, 56:635-672.
2. Boldin B. Introducing a population into a steady community. the critical case, the center manifold, and the direction of bifurcation. SIAM J. Appl. Math. 2006, 66(4):1424-1453.
3. Carr J. Applications of Centre Manifold Theory 1981, Springer-Verlag, New York.
4. Dumortier F., Llibre J., Artés J.C. Qualitative Theory of Planar Differential Systems 2006, Springer, Berlin, Heidelberg, New York.
5. De Leenheer P., Smith H.L. Virus dynamics. a global analysis. SIAM J. Appl. Math. 2003, 63:1313-1327.
6. Feng Z., Velasco-Hernandez J., Tapia-Santos B. A mathematical model for coupling within-host and between-host dynamics in an environmentally-driven infectious disease. Math. Biosci. 2013, 241:49-55.
7. Feng Z., Velasco-Hernandez J., Tapia-Santos B., Leite M.C.A. A model for coupling within-host and between-host dynamics in an infectious disease. Nonlinear Dyn. 2012, 68:401-411.
8. Gandolfi, A., Pugliese, A., Sinisgalli, C., 2014. Epidemic dynamics and host immune response: a nested approach, J. Math. Biol. doi:. doi:10.1007/s00285-014-0769-8.
9. Gilchrist M.A., Coombs D. Evolution of virulence. interdependence, constraints, and selection using nested models. Theor. Popul. Biol. 2006, 69:145-153.
10. Gilchrist M.A., Sasaki A. Modeling host-parasite coevolution. a nested approach based on mechanistic models. J. Theor. Biol. 2002, 218:289-308.
11. Hartman P. Ordinary Differential Equations. Society for Industrial and Applied Mathematics (SIAM) 2002, vol. 32. Philadelphia, PA, (xx+612 pp).
12. Korobeinikov A. Global properties of basic virus dynamics models. Bull. Math. Biol. 2004, 66:879-883.
13. Mideo N., Alizon S., Day T. Linking within- and between-host disease dynamics. Trends Ecol. Evol. 2008, 23:511-517.
14. Nowak M.A., Bonhoeffer S., Shaw G.M., May R.M. Anti-viral drug treatment. dynamics of resistance in free virus and infected cell populations. J. Theor. Biol. 1997, 184:203-217.
15. + T cells. Math. Biosci. 1993, 114:81-125.
16. Perelson A.S., Nelson P.W. Modelling viral and immune system dynamics. Nat. Rev. Immunol. 2002, 02:28-36.
17. Qesmi, R., Heffernan, J.M., Wu, J., 2014. An immuno-epidemiological model with threshold delay: a study of the effects of multiple exposures to a pathogen, J. Math. Biol. doi:. doi:10.1007/s00285-014-0764-0.
18. Rong L., Feng Z., Perelson A.S. Mathematical analysis of age-structured HIV-1 dynamics with combination antiretroviral therapy. SIAM J. Appl. Math. 2007, 67:731-756.
19. Rong L., Feng Z., Perelson A.S. Emergence of HIV-1 drug resistance during antiretroviral treatment. Bull. Math. Biol. 2007, 69(6):2027-2060.
20. Rong L., Gilchrist M., Feng Z., Perelson A.S. Modeling within-host HIV-1 dynamics and the evolution of drug resistance. trade-offs between viral enzyme function and drug susceptibility. J. Theor. Biol. 2007, 247:804-818.
21. Sullivan A., Agusto F., Bewick S., Su C., Lenhart S., Zhao X. A mathematical model for within-host Toxoplasma gondii invasion dynamics. Math. Biosci. Eng. 2012, 9(3):647-662.
22. Turner M., Lenhart S., Rosenthal B., Zhao X. Modeling effective transmission pathways and control of the world's most successful parasite. Theor. Popul. Biol. 2013, 86:50-61.
23. Weiss L.M., Kami K. Toxoplasma gondii: the Model Apicomplexan-Perspectives and Methods 2011, Academic Press, London, UK.
24. Zhang, Z., Ding, T., Huang, W., Dong, Z., 1992. Qualitative Theory of Differential Equations. AMS; Providence, RI, xiv+461 pp.