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Stochastic formulation of ecological models and their applications
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Citations
Cites
The chemical basis of morphogenesis
Turing, A. M. (1952) · Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences · doi:10.1098/rstb.1952.0012 · Cited by 11,733
Stochastic Processes in Physics and Chemistry
(2007) · Elsevier eBooks · doi:10.1016/b978-0-444-52965-7.x5000-4 · Cited by 8,692
The Unified Neutral Theory of Biodiversity and Biogeography
Jetschke, G. (2002) · Ecology · doi:10.1890/0012-9658(2002)083[1771:tuntob]2.0.co;2 · Cited by 6,993
Spectral Analysis and Time Series
Preston, D. B. (1983) · Technometrics · doi:10.1080/00401706.1983.10487866 · Cited by 5,011
Hanski, L. (1999) · doi:10.1093/oso/9780198540663.001.0001 · Cited by 3,535
Some Demographic and Genetic Consequences of Environmental Heterogeneity for Biological Control
Levins, R. (1969) · Bulletin of the Entomological Society of America · doi:10.1093/besa/15.3.237 · Cited by 3,474
Stochastic Processes in Physics and Chemistry
Kampen, V. (1992) · Cited by 3,301
Modeling Infectious Diseases in Humans and Animals
Keeling, M. J., & Rohani, P. (2011) · Princeton University Press eBooks · doi:10.2307/j.ctvcm4gk0 · Cited by 2,688
Pattern-Oriented Modeling of Agent-Based Complex Systems: Lessons from Ecology
Grimm, V., Revilla, E., Berger, U., Jeltsch, F., Mooij, W. M., Railsback, S. F., Thulke, H.-H., Weiner, J., Wiegand, T., & DeAngelis, D. L. (2005) · Science · doi:10.1126/science.1116681 · Cited by 2,175
Mathematical Models in Population Biology and Epidemiology
Brauer, F., & Castillo-Chávez, C. (2001) · Texts in Applied Mathematics · doi:10.1007/978-1-4757-3516-1 · Cited by 1,995
Strategies for containing an emerging influenza pandemic in Southeast Asia
Ferguson, N. M., Cummings, D. A. T., Cauchemez, S., Fraser, C., Riley, S., Meeyai, A., Iamsirithaworn, S., & Burke, D. S. (2005) · Nature · doi:10.1038/nature04017 · Cited by 1,816
Seasonality and the dynamics of infectious diseases
Altizer, S., Dobson, A., Hosseini, P., Hudson, P., Pascual, M., & Rohani, P. (2006) · Ecology Letters · doi:10.1111/j.1461-0248.2005.00879.x · Cited by 1,494
The Unified Neutral Theory of Biodiversity and Biogeography at Age Ten
Rosindell, J., Hubbell, S. P., & Etienne, R. S. (2011) · Trends in Ecology & Evolution · doi:10.1016/j.tree.2011.03.024 · Cited by 1,095
The Importance of Being Discrete (and Spatial)
Durrett, R., & Levin, S. (1994) · Theoretical Population Biology · doi:10.1006/tpbi.1994.1032 · Cited by 1,085
Regular pattern formation in real ecosystems
Rietkerk, M., & van de Koppel, J. (2008) · Trends in Ecology & Evolution · doi:10.1016/j.tree.2007.10.013 · Cited by 894
Analytical distributions for stochastic gene expression
Shahrezaei, V., & Swain, P. S. (2008) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0803850105 · Cited by 829
The statistical processes of evolutionary theory.
Moran, P. A. P. (1962) · Medical Entomology and Zoology · Cited by 781
Mobility promotes and jeopardizes biodiversity in rock–paper–scissors games
Reichenbach, T., Mobilia, M., & Frey, E. (2007) · Nature · doi:10.1038/nature06095 · Cited by 738
A Simple Model for Complex Dynamical Transitions in Epidemics
Earn, D. J. D., Rohani, P., Bolker, B. M., & Grenfell, B. T. (2000) · Science · doi:10.1126/science.287.5453.667 · Cited by 684
The Statistical Processes of Evolutionary Theory.
Workman, P. L., & Moran, P. A. P. (1963) · Journal of the American Statistical Association · doi:10.2307/2283297 · Cited by 633
Noisy Clockwork: Time Series Analysis of Population Fluctuations in Animals
Bjørnstad, O. N., & Grenfell, B. T. (2001) · Science · doi:10.1126/science.1062226 · Cited by 629
Markov processes — an introduction for physical scientists
(1992) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(92)90114-v · Cited by 562
Strong approximation theorems for density dependent Markov chains
Kurtz, T. G. (1978) · Stochastic Processes and their Applications · doi:10.1016/0304-4149(78)90020-0 · Cited by 552
Coevolutionary Dynamics: From Finite to Infinite Populations
Traulsen, A., Claussen, J. C., & Hauert, C. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.238701 · Cited by 508
Stochastic models of population extinction
Ovaskainen, O., & Meerson, B. (2010) · Trends in Ecology & Evolution · doi:10.1016/j.tree.2010.07.009 · Cited by 467
Predator-Prey Cycles from Resonant Amplification of Demographic Stochasticity
McKane, A. J., & Newman, T. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.218102 · Cited by 433
Self-citationHypothesis for origin of planktonic patchiness
LEVIN, S. A., & SEGEL, L. A. (1976) · Nature · doi:10.1038/259659a0 · Cited by 415
ALONSO, D., ETIENNE, R., & MCKANE, A. (2006) · Trends in Ecology & Evolution · doi:10.1016/j.tree.2006.03.019 · Cited by 397
Self-citationNeutral metacommunity models predict fish diversity patterns in Mississippi–Missouri basin
Muneepeerakul, R., Bertuzzo, E., Lynch, H. J., Fagan, W. F., Rinaldo, A., & Rodriguez-Iturbe, I. (2008) · Nature · doi:10.1038/nature06813 · Cited by 380
Stochastic Population Models in Ecology and Epidemiology.
Bailey, N. T. J., & Bartlett, M. S. (1961) · Journal of the American Statistical Association · doi:10.2307/2282020 · Cited by 354
Density dependence explains tree species abundance and diversity in tropical forests
Volkov, I., Banavar, J. R., He, F., Hubbell, S. P., & Maritan, A. (2005) · Nature · doi:10.1038/nature04030 · Cited by 329
Lloyd, A. L. (2001) · Proceedings of the Royal Society of London. Series B: Biological Sciences · doi:10.1098/rspb.2001.1599 · Cited by 262
Protracted speciation revitalizes the neutral theory of biodiversity
Rosindell, J., Cornell, S. J., Hubbell, S. P., & Etienne, R. S. (2010) · Ecology Letters · doi:10.1111/j.1461-0248.2010.01463.x · Cited by 242
Stochastic Dynamics and Deterministic Skeletons: Population Behavior of Dungeness Crab
Higgins, K., Hastings, A., Sarvela, J. N., & Botsford, L. W. (1997) · Science · doi:10.1126/science.276.5317.1431 · Cited by 229
Species diversity in neutral metacommunities: a network approach
Economo, E. P., & Keitt, T. H. (2008) · Ecology Letters · doi:10.1111/j.1461-0248.2007.01126.x · Cited by 193
On methods for studying stochastic disease dynamics
Keeling, M. J., & Ross, J. V. (2008) · Journal of The Royal Society Interface · doi:10.1098/rsif.2007.1106 · Cited by 188
The Interplay between Determinism and Stochasticity in Childhood Diseases
Rohani, P., Keeling, M. J., & Grenfell, B. T. (2002) · The American Naturalist · doi:10.1086/339467 · Cited by 186
Spatial Pattern Formation in an Insect Host-Parasitoid System
Maron, J. L., & Harrison, S. (1997) · Science · doi:10.1126/science.278.5343.1619 · Cited by 178
Stochastic models of some endemic infections
Nåsell, I. (2002) · Mathematical Biosciences · doi:10.1016/s0025-5564(02)00098-6 · Cited by 178
Stochastic models in population biology and their deterministic analogs
McKane, A. J., & Newman, T. J. (2004) · Physical Review E · doi:10.1103/physreve.70.041902 · Cited by 176
Self-citationSkeletons, noise and population growth: the end of an old debate?
Coulson, T., Rohani, P., & Pascual, M. (2004) · Trends in Ecology & Evolution · doi:10.1016/j.tree.2004.05.008 · Cited by 158
Stochastic Turing patterns in the Brusselator model
Biancalani, T., Fanelli, D., & Patti, F. D. (2010) · Physical Review E · doi:10.1103/physreve.81.046215 · Cited by 153
Robust ecological pattern formation induced by demographic noise
Butler, T., & Goldenfeld, N. D. (2009) · Physical Review E · doi:10.1103/physreve.80.030902 · Cited by 150
Stochastic Population Models in Ecology and Epidemiology.
Bush, K. A., & Bartlett, M. S. (1961) · American Mathematical Monthly · doi:10.2307/2312029 · Cited by 150
Transients and attractors in epidemics
Bauch, C. T., & Earn, D. J. D. (2003) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2003.2410 · Cited by 138
Fluctuation-driven Turing patterns
Butler, T., & Goldenfeld, N. (2011) · Physical Review E · doi:10.1103/physreve.84.011112 · Cited by 131
Determining the Stability of Genetic Switches: Explicitly Accounting for mRNA Noise
Assaf, M., Roberts, E., & Luthey-Schulten, Z. A. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.248102 · Cited by 128
Modelling infectious diseases in humans and animals
Blower, S. M. (2008) · The Lancet Infectious Diseases · doi:10.1016/s1473-3099(08)70147-6 · Cited by 127
Analytic solution of Hubbell's model of local community dynamics
McKane, A. J., Alonso, D., & Solé, R. V. (2003) · Theoretical Population Biology · doi:10.1016/j.tpb.2003.08.001 · Cited by 106
Self-citationDeterministic epidemiological models at the individual level
Sharkey, K. J. (2008) · Journal of Mathematical Biology · doi:10.1007/s00285-008-0161-7 · Cited by 83
Classical versus Stochastic Kinetics Modeling of Biochemical Reaction Systems
Goutsias, J. I. (2007) · Biophysical Journal · doi:10.1529/biophysj.106.093781 · Cited by 81
Integrating stochasticity and network structure into an epidemic model
Dangerfield, C. E., Ross, J. V., & Keeling, M. J. (2008) · Journal of The Royal Society Interface · doi:10.1098/rsif.2008.0410 · Cited by 67
Noise, nonlinearity and seasonality: the epidemics of whooping cough revisited
Nguyen, H. T. H., & Rohani, P. (2007) · Journal of The Royal Society Interface · doi:10.1098/rsif.2007.1168 · Cited by 64
Stochastic fluctuations in epidemics on networks
Simões, M., da Gama, M. M. T., & Nunes, A. (2007) · Journal of The Royal Society Interface · doi:10.1098/rsif.2007.1206 · Cited by 62
Pineda‐Krch, M., Blok, H. J., Dieckmann, U., & Doebeli, M. (2006) · Oikos · doi:10.1111/j.2006.0030-1299.14940.x · Cited by 59
Calculation of Disease Dynamics in a Population of Households
Ross, J. V., House, T., & Keeling, M. J. (2010) · PLoS ONE · doi:10.1371/journal.pone.0009666 · Cited by 51
Cycles, stochasticity and density dependence in pink salmon population dynamics
Krkošek, M., Hilborn, R. W., Peterman, R. M., & Quinn, T. P. (2010) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2010.2335 · Cited by 50
Stochasticity in staged models of epidemics: quantifying the dynamics of whooping cough
Black, A. J., & McKane, A. J. (2010) · Journal of The Royal Society Interface · doi:10.1098/rsif.2009.0514 · Cited by 43
Self-citationStochastic slowdown in evolutionary processes
Altrock, P. M., Gokhale, C. S., & Traulsen, A. (2010) · Physical Review E · doi:10.1103/physreve.82.011925 · Cited by 41
Power spectra methods for a stochastic description of diffusion on deterministically growing domains
Woolley, T. E., Baker, R. E., Gaffney, E. A., & Maini, P. K. (2011) · Physical Review E · doi:10.1103/physreve.84.021915 · Cited by 33
Fixed points and limit cycles in the population dynamics of lysogenic viruses and their hosts
Wang, Z., & Goldenfeld, N. D. (2010) · Physical Review E · doi:10.1103/physreve.82.011918 · Cited by 29
Antonovics, J., & Edwards, M. (2011) · Journal of Animal Ecology · doi:10.1111/j.1365-2656.2011.01846.x · Cited by 28
Dynamical Phase Transition in a Model for Evolution with Migration
Waclaw, B., Allen, R. J., & Evans, M. R. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.268101 · Cited by 27
Spence, L. A., Ross, J. V., Wiser, S. K., Allen, R. B., & Coomes, D. A. (2010) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2010.1738 · Cited by 22
An analytical approach to spatio-temporal dynamics of neutral community models
Vanpeteghem, D., & Haegeman, B. (2009) · Journal of Mathematical Biology · doi:10.1007/s00285-009-0303-6 · Cited by 21
Approximating intrinsic noise in continuous multispecies models
Scott, M., Poulin, F., & Tang, H. H. C. (2010) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2010.0275 · Cited by 21
Decreasing stochasticity through enhanced seasonality in measles epidemics
Mantilla-Beniers, N. B., Bjørnstad, O. N., Grenfell, B. T., et al. (2009) · Journal of The Royal Society Interface · doi:10.1098/rsif.2009.0317 · Cited by 20
Biodiversity on island chains: Neutral model simulations
Warren, P. B. (2010) · Physical Review E · doi:10.1103/physreve.82.051922 · Cited by 11
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Nonequilibrium physics in biology
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Metadata
- Authors
- Black, A. J., & McKane, A. J.
- Venue
- Trends in Ecology & Evolution
- Publisher
- Elsevier BV
- Published
- 2012-06
- Volume
- 27
- Issue
- 6
- Pages
- 337-345
- ISSN
- 0169-5347 (ISSN-L)
- OpenAlex
- W2108678981
- Cited by
- 255
- References
- 68
- FWCI
- 4.32
- Type
- journal article
- Language
- en
- Open access
- closed
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