Stabilizing the dynamics of laboratory populations of Drosophila melanogaster through upper and lower limiter controls

Abrams, 2009, When does greater mortality increase population size? The long history and diverse mechanisms underlying the hydra effect, Ecol. Lett., 12, 462, 10.1111/j.1461-0248.2009.01282.x

Allendorf, 2007

Baillie, 2012

Ball, 2000, The genetic contribution of single male immigrants to small, inbred populations: a laboratory study using Drosophila melanogaster, Heredity, 84, 677, 10.1046/j.1365-2540.2000.00721.x

Brännström, 2005, The role of competition and clustering in population dynamics, Proc. R. Soc. Lond., Ser. B: Biol. Sci., 272, 2065, 10.1098/rspb.2005.3185

Caswell, 2001

Chernousko, 2008

Cohen, 1988

Corron, 2000, Controlling chaos with simple limiters, Phys. Rev. Lett., 84, 3835, 10.1103/PhysRevLett.84.3835

Dattani, 2011, Target-oriented chaos control, Phys. Lett. A, 375, 3986, 10.1016/j.physleta.2011.08.066

Denney, 2002, Life-history correlates of maximum population growth rates in marine fishes, Proc. R. Soc. Lond., Ser. B: Biol. Sci., 269, 2229, 10.1098/rspb.2002.2138

Desharnais, 2001, Chaos and population control of insect outbreaks, Ecol. Lett., 4, 229, 10.1046/j.1461-0248.2001.00223.x

Devilly, 2004

Dey, 2006, Stability via asynchrony in Drosophila metapopulations with low migration rates, Science, 312, 434, 10.1126/science.1125317

Dey, 2007, Local perturbations do not affect stability of laboratory fruitfly metapopulations, PLoS One, 2, e233, 10.1371/journal.pone.0000233

Franco, 2013, Adaptive limiter control of unimodal population maps, J. Theor. Biol., 337, 161, 10.1016/j.jtbi.2013.08.018

Franco, 2014, Stabilizing populations with adaptive limiters: prospects and fallacies, SIAM J. Appl. Dyn. Syst., 13, 447, 10.1137/13092277X

Fryxell, 2005, Evaluation of alternate harvesting strategies using experimental microcosms, Oikos, 111, 143, 10.1111/j.0030-1299.2005.13840.x

Garfinkel, 1992, Controlling cardiac chaos, Science, 257, 1230, 10.1126/science.1519060

Gusset, 2009, Dogs on the catwalk: modelling re-introduction and translocation of endangered wild dogs in South Africa, Biol. Conserv., 142, 2774, 10.1016/j.biocon.2009.07.007

Hilker, 2005, Control of chaotic population dynamics: ecological and economic considerations, Beitraege des Instituts fuer Umweltsystemforschung

Hilker, 2007, Preventing extinction and outbreaks in chaotic populations, Am. Nat., 170, 232, 10.1086/518949

Ives, 2004, The synergistic effects of stochasicity and dispersal on population dynamics, Am. Nat., 163, 375, 10.1086/381942

Lacy, 1987, Loss of genetic diversity from managed populations: interacting effects of drift, mutation, immigration, selection, and population subdivision, Conserv. Biol., 1, 143, 10.1111/j.1523-1739.1987.tb00023.x

Lande, 1997, Threshold harvesting for sustainability of fluctuating resources, Ecology, 78, 1341, 10.1890/0012-9658(1997)078[1341:THFSOF]2.0.CO;2

Liz, 2010, Global stabilization of fixed points using predictive control, Chaos, 20, 023124, 10.1063/1.3432558

Milner-Gulland, 1998

Mueller, 1988, Density-dependent population growth and natural selection in food limited environments: the Drosophila model, Am. Nat., 132, 786, 10.1086/284890

Mueller, 1994, Ecological determinants of stability in model populations, Ecology, 75, 430, 10.2307/1939546

Mueller, 2000

Newman, 1997, Increased probability of extinction due to decreased genetic effective population size: experimental populations of Clarkia pulchella, Evolution, 51, 354, 10.2307/2411107

Ponciano, 2005, Use of stochastic models to assess the effect of environmental factors on microbial growth, Appl. Environ. Microbiol., 71, 2355, 10.1128/AEM.71.5.2355-2364.2005

Pyke, 2008, Plague minnow or mosquito fish? A review of the biology and impacts of introduced Gambusia species, Annu. Rev. Ecol., Evol. Syst., 39, 171, 10.1146/annurev.ecolsys.39.110707.173451

Ricker, 1954, Stock and recruitment, J. Fish. Res. Board Can., 11, 559, 10.1139/f54-039

Sah, 2014, Stabilizing spatially-structured populations through adaptive limiter control, PLoS One, 9, e105861, 10.1371/journal.pone.0105861

Schöll, 2008

Sheeba, 1998, A test of simple models of population growth using data from very small populations of Drosophila melanogaster, Curr. Sci., 75, 1406

Tung, 2014, A comparison of six methods for stabilizing population dynamics, J. Theor. Biol., 356, 163, 10.1016/j.jtbi.2014.04.036

Vilà, 2003, Rescue of a severely bottlenecked wolf (Canis lupus) population by a single immigrant, Proc. R. Soc. Lond., Ser. B: Biol. Sci., 270, 91, 10.1098/rspb.2002.2184

Zhou, 2006, Stabilizing long-period orbits via symbolic dynamics in simple limiter controllers, Chaos, 16, 013109, 10.1063/1.2150776