Impact of the topology of metapopulations on the resurgence of epidemics rendered by a new multiscale hybrid modeling approach

Ecological Informatics

Volumn 6, Issue 3-4, 2011, Pages 177-186

  Vincenot, Christian Ernest ^a   Moriya, Kazuyuki ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Agent; Compartmental; Graph; Homogeneous mixing; Individual Based Modeling; Network; Pandemic; Random mixing; System Dynamics modeling

Indexed keywords

ECOLOGICAL MODELING; EPIDEMIC; HETEROGENEITY; INDIVIDUAL-BASED MODEL; METAPOPULATION; NUMERICAL MODEL; SPATIAL DISTRIBUTION; TOPOLOGY;

EID: 79955878523     PISSN: 15749541     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecoinf.2011.04.002     Document Type: Article

References (43)

1. Anderson R.M., May R.M. Population biology of infectious diseases: part I. Nature 1979, 280:361-367.
2. Anderson R.M., May R.M. Infectious Diseases of Humans: Dynamics and Control 1991, Oxford University Press, Oxford.
3. Bailey N.T.J. The Mathematical Theory of Infectious Diseases 1975, Hafner, New York. 2nd ed.
4. Bansal S., Grenfell B.T., Meyers L.A. When individual behaviour matters: homogeneous and network models in epidemiology. Journal of the Royal Society Interface 2007, 4:879-891.
5. Bartlett M.S. Measles periodicity and community size. Journal of the Royal Statistical Society: Series A 1957, 120:48-71.
6. Beauchemin C. Probing the effects of the well-mixed assumption on viral infection dynamics. Journal of Theoretical Biology 2006, 242:464-477.
7. Dushoff J., Plotkin J.B., Levin S.A., Earn D.J. Dynamical resonance can account for seasonality of influenza epidemics. Proceedings of the National Academy of Sciences of the USA 2004, 101:16915-16916.
8. Eisenstadt M. Tales of debugging from the front lines. Empirical Studies of Programmers: Fifth Workshop 1993, 86-112. Ablex Publishing Corp. C.R. Cook, S.J.C., J.C. Spohrer (Eds.).
9. Emrich S., Breitenecker F., Zauner G., Popper N. Simulation of influenza epidemics with a hybrid model - combining cellular automata and agent based features. 30th Int Conf on Information Technology Interfaces, Dubrovnik, Croatia 2008, 709-714.
10. Ford A.T. Modeling the Environment: An Introduction to System Dynamics Modeling of Environmental Systems 1999, Island Press, Washington, D.C.
11. Forrester J.W. World Dynamics 1971, Wright-Allen Press, Cambridge, Mass.
12. Fromont E., Pontier D., Langlais M. Disease propagation in connected host populations with density-dependent dynamics: the case of the Feline Leukemia Virus. Journal of Theoretical Biology 2003, 223:465-475.
13. Grimm V., Berger U., Bastiansen F., Eliassen S., Ginot V., Giske J., Goss-Custard J., Grand T., Heinz S.K., Huse G., Huth A., Jepsen J.U., Jørgensen C., Mooij W.M., M• Eler B., Pe'er G., Piou C., Railsback S.F., Robbins A.M., Robbins M.M., Rossmanith E., R• Eer N., Strand E., Souissi S., Stillman R.A., Vab• E.R., Visser U., DeAngelis D.L. A standard protocol for describing individual-based and agent-based models. Ecological Modelling 2006, 198:115-126.
14. Grimm V., Berger U., DeAngelis D.L., Polhill J.G., Giske J., Railsback S.F. The ODD protocol: a review and first update. Ecological Modelling 2010, 221:2760-2768.
15. Grimm V., Railsback S.F. Individual-based Modeling and Ecology 2005, Princeton University Press, Princeton.
16. Gubler D.J. The global emergence/resurgence of arboviral diseases as public health problems. Archives of Medical Research 2002, 33:330-342.
17. Hethcote H.W. A thousand and one epidemic models. Frontiers in Mathematical Biology, Lecture Notes in Biomathematics 1995, 504-515. Springer Verlag, Berling-Heidelberg-New York. S.A. Levin (Ed.).
18. Hethcote H.W., Stech H.W., Van Den Driessche P. Nonlinear oscillations in epidemic models. SIAM Journal on Applied Mathematics 1981, 40:1-9.
19. Hufnagel L., Brockmann D., Geisel T. Forecast and control of epidemics in a globalized world. Proceedings of the National Academy of Sciences of the USA 2004, 101:15124-15129.
20. de Jong M.C.M., Diekmann O., Heesterbeek J.A.P. How does transmission of infection depend on population size?. Epidemic Models: Their Structure and Relation to Data 1995, 84-94. Cambridge University Press, Cambridge. D., M. (Ed.).
21. Kawasaki K., Takasu F., Caswell H., Shigesada N. How does stochasticity in colonization accelerate the speed of invasion in a cellular automaton model?. Ecological Research 2006, 21:334-345.
22. Keeling M.J., Eames K.T. Networks and epidemic models. Journal of the Royal Society Interface 2005, 2:295-307.
23. Keeling M.J., Woolhouse M.E., May R.M., Davies G., Grenfell B.T. Modelling vaccination strategies against foot-and-mouth disease. Nature 2003, 421:136-142.
24. Keeling M.J., Woolhouse M.E., Shaw D.J., Matthews L., Chase-Topping M., Haydon D.T., Cornell S.J., Kappey J., Wilesmith J., Grenfell B.T. Dynamics of the 2001 UK foot and mouth epidemic: stochastic dispersal in a heterogeneous landscape. Science 2001, 294:813-817.
25. Kermack W.O., McKendrick A.G. A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society of London. Series A 1927, 115:700-721.
26. Kramer-Schadt S., Fernández N., Eisinger D., Grimm V., Thulke H.-H. Individual variations in infectiousness explain long-term disease persistence in wildlife populations. Oikos 2009, 118:199-208.
27. Larson R.C. Simple models of influenza progression within a heterogeneous population. Operations Research 2007, 55:399-412.
28. Lavenu A., Valleron A.J., Carrat F. Exploring cross-protection between influenza strains by an epidemiological model. Virus Research 2004, 103:101-105.
29. Mills C.E., Robins J.M., Lipsitch M. Transmissibility of 1918 pandemic influenza. Nature 2004, 432:904-906.
30. Pennington N. Stimulus structures and mental representations in expert comprehension of computer programs. Cognitive Psychology 1987, 19:295-342.
31. Pitt W.C., Box P.W., Knowlton F.F. An individual-based model of canid populations: modelling territoriality and social structure. Ecological Modelling 2003, 166:109-121.
32. Raga J.A., Banyard A., Domingo M., Corteyn M., Van Bressem M.F., Fernandez M., Aznar F.J., Barrett T. Dolphin morbillivirus epizootic resurgence, Mediterranean Sea. Emerging Infectious Diseases 2008, 14:471-473.
33. Real L.A., Biek R. Spatial dynamics and genetics of infectious diseases on heterogeneous landscapes. Journal of the Royal Society Interface 2007, 4:935-948.
34. Riley S., Fraser C., Donnelly C.A., Ghani A.C., Abu-Raddad L.J., Hedley A.J., Leung G.M., Ho L.M., Lam T.H., Thach T.Q., Chau P., Chan K.P., Lo S.V., Leung P.Y., Tsang T., Ho W., Lee K.H., Lau E.M., Ferguson N.M., Anderson R.M. Transmission dynamics of the etiological agent of SARS in Hong Kong: impact of public health interventions. Science 2003, 300:1961-1966.
35. Schneckenreither G., Popper N., Zauner G., Breitenecker F. Modelling SIR-type epidemics by ODEs, PDEs, difference equations and cellular automata - a comparative study. Simulation Modelling Practice and Theory 2008, 16:1014-1023.
36. Sirakoulis G.C., Karafyllidis I., Thanailakis A. A cellular automaton model for the effects of population movement and vaccination on epidemic propagation. Ecological Modelling 2000, 133:209-223.
37. Valleron A.J., Cori A., Valtat S., Meurisse S., Carrat F., Boelle P.Y. Transmissibility and geographic spread of the 1889 influenza pandemic. Proceedings of the National Academy of Sciences of the USA 2010, 107:8778-8781.
38. Vazquez A. Epidemic outbreaks on structured populations. Journal of Theoretical Biology 2007, 245:125-129.
39. Vessey I. Toward a theory of computer program bugs: an empirical test. International Journal of Man-Machine Studies 1989, 30:23-46.
40. Vincenot C.E., Giannino F., Rietkerk M., Moriya K., Mazzoleni S. Theoretical considerations on the combined use of System Dynamics and individual-based modeling in ecology. Ecological Modelling 2011, 222:210-218.
41. Vincenot C.E., Moriya K. Lifting the well-mixed assumption using SD-IB hybrid modelling: a short application to epizootics in fish farm networks, JASS 2009 Autumn Meeting and Symposium. Japanese Agricultural Systems Society 2009, Tsukuba, Ibaraki-ken, Japan.
42. Watts D.J., Muhamad R., Medina D.C., Dodds P.S. Multiscale, resurgent epidemics in a hierarchical metapopulation model. Proceedings of the National Academy of Sciences of the USA 2005, 102:11157-11162.
43. White S.H., del Rey A.M., Sánchez G.R.u. Modeling epidemics using cellular automata. Applied Mathematics and Computation 2007, 186:193-202.