Fitting parameters of stochastic birth-death models to metapopulation data

Theoretical Population Biology

Volumn 78, Issue 2, 2010, Pages 71-76

  zu Dohna, Heinrich ^a   Pineda Krch, Mario ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Birth death processes; Logistic growth; Maximum likelihood; Metapopulation; SIS model

Indexed keywords

DATA SET; DEMOGRAPHY; DISEASE TRANSMISSION; EPIDEMIOLOGY; IMMIGRATION; MAXIMUM LIKELIHOOD ANALYSIS; METAPOPULATION; MORTALITY; PARAMETERIZATION; PATCHINESS; POPULATION MODELING; POPULATION STRUCTURE; STOCHASTICITY;

EID: 77955270719     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2010.06.004     Document Type: Article

References (20)

1. Ball F. Stochastic and deterministic models for SIS epidemics among a population partitioned into households. Mathematical Biosciences 1999, 156:41-67.
2. Cecere M.C., et al. Spatio-temporal analysis of reinfestation by Triatoma infestans (Hemiptera: Reduviidae) following insecticide spraying in a rural community in northwestern Argentina. American Journal of Tropological Medicine and Hygiene 2004, 71:803-810.
3. Galvani A.P. Immunity, antigenic heterogeneity, and aggregation of helminth parasites. Journal of Parasitology 2003, 89:232-241.
4. Ghoshal G., et al. SIS epidemics with household structure: the self-consistent field method. Mathematical Biosciences 2004, 190:71-85.
5. Gillespie D. Exact stochastic simulation of coupled chemical reactions. The Journal of Physical Chemistry 1977, 81:2340-2361.
6. Gillespie D. Markov Processes: An Introduction for Physical Scientists 1992, Academic Press, Boston.
7. Hanski I. A practical model of metapopulation dynamics. Journal of Animal Ecology 1994, 63:151-162.
8. Hassell M.P. Density dependence in single species populations. Journal of Animal Ecology 1975, 44:283-296.
9. Longini I.M., et al. Estimating household and community transmission parameters for influenza. American Journal of Epidemiology 1982, 115:736-751.
10. Longini I.M., Koopman J.S. Household and community transmission parameters from final distributions of infections in households. Biometrics 1982, 38:115-126.
11. McCallum H., et al. How should pathogen transmission be modelled?. Trends in Ecology & Evolution 2001, 16:295-300.
12. Moilanen A. Patch occupancy models of metapopulation dynamics: efficient parameter estimation using implicit statistical inference. Ecology 1999, 80:1031-1043.
13. Nåsell I. Extinction and quasi-stationarity in the Verhulst logistic model. Journal of Theoretical Biology 2001, 211:11-27.
14. Pineda-Krch M. GillespieSSA: implementing the stochastic simulation algorithm in R. Journal of Statistical Software 2008, 25:1-18.
15. R Development Core Team, , 2009. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. URL: http://www.R-project.org/.
16. Rao C. Advanced Statistical Methods in Biometric Research 1953, John Wiley & Sons, New York.
17. Rice J.A. Mathematical Statistics and Data Analysis 1995, Duxbury Press, Belmont, CA.
18. Vergu E., et al. Impact of the infection period distribution on the epidemic spread in a metapopulation model. PLoS One 2010, 5. e9371.
19. zu Dohna H., et al. Re-establishment of local populations of vectors of Chagas disease after insecticide spraying. Journal of Applied Ecology 2007, 44:220-227.
20. zu Dohna H., et al. Spatial re-establishment dynamics of local populations of vectors of Chagas disease. PLoS Neglected Tropical Diseases 2009, 3. e490.