Environmentally induced dispersal under heterogeneous logistic growth

Mathematical Biosciences - Tập 199 - Trang 160-174 - 2006
Víctor Padrón1,2, María Cristina Trevisan2
1School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street S.E., Minneapolis, MN 55455, United States
2Departamento de Mathemáticas, Facultad de Ciencias, Universidad de Los Andes, Mérida 5101, Venezuela

Tài liệu tham khảo

Johnson, 1990, Evolution of dispersal: theoretical models and empirical tests using birds and mammals, Ann. Rev. Ecol. Syst., 21, 449, 10.1146/annurev.es.21.110190.002313 Dieckmann, 1999, The evolutionary ecology of dispersal, Trends Ecol. Evol., 14, 88, 10.1016/S0169-5347(98)01571-7 Holt, 1984, Spatial heterogeneity, indirect interactions and the coexistence of prey species, Am. Nat., 124, 377, 10.1086/284280 Holt, 1985, Population dynamics in two-patch environments: some anomalous consequences of optimal habitat distribution, Theor. Pop. Biol., 28, 181, 10.1016/0040-5809(85)90027-9 Pulliam, 1998, Sources, sinks and population regulation, Am. Nat., 132, 652, 10.1086/284880 Pulliam, 1991, Sources, sinks and habitat selection: a landscape perspective on population dynamics, Am. Nat., 137, 850, 10.1086/285139 McPeek, 1992, The evolution of dispersal in spatially and temporally varying environments, Am. Nat., 140, 1010, 10.1086/285453 Doncaster, 1997, Balanced dispersal between spatially varying local populations: an alternative to the source-sink model, Am. Nat., 150, 425, 10.1086/286074 Lemel, 1997, The evolution of dispersal in a two-patch system: some consequences of differences between migrants and residents, Evol. Ecol., 11, 613, 10.1007/s10682-997-1516-z Lebreton, 2000, An explicit approach to evolutionarily stable strategies: no cost of dispersal, Math. Biosci., 165, 163, 10.1016/S0025-5564(00)00016-X Holt, 2001, On the relationship between the ideal free distribution and the evolution of dispersal, 83 Morris, 2004, Dispersal among habitats varying in fitness: reciprocating migration through ideal habitat selection, Oikos, 107, 559, 10.1111/j.0030-1299.2004.12894.x Doebeli, 1995, Dispersal and dynamics, Theor. Pop. Biol., 47, 82, 10.1006/tpbi.1995.1004 Hastings, 1983, Can spatial variation alone lead to selection for dispersal?, Theor. Pop. Biol., 24, 244, 10.1016/0040-5809(83)90027-8 Fretwell, 1970, On territorial behaviour and other factors influencing habitat distributions on birds, Acta Biotheoretica, 19, 16, 10.1007/BF01601953 Verhulst, 1838, Notice sur la loi que la population suit dans son accroissement, Corr. Math. Phys., 10, 113 Padrón, 2000, Effect of aggregating behaviour on population recovery on a set of habitat islands, Math. Biosci., 165, 63, 10.1016/S0025-5564(00)00005-5 H. Smith, Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems, American Mathematical Society, SURV/41, 1995. Cantrell, 2003 Lidicker, 1962, Emigration as a possible mechanism permitting the regulation of population density below the carrying capacity, Am. Nat., 96, 23, 10.1086/282204 Łomnicki, 1988 Holt, 1996, Adaptive evolution in source-sink environments: direct and indirect effects of density-dependence on niche evolution, Oikos, 75, 182, 10.2307/3546242 Wares, 2001, A comparative study of symmetric migration events across a marine biogeographic boundary, Evolution, 55, 295, 10.1111/j.0014-3820.2001.tb01294.x Keddy, 1981, Experimental demography of the sand dune annual, Calike edentula, growing along an environmental gradient in Nova Scotia, J. Ecol., 69, 615, 10.2307/2259688 Keddy, 1982, Population ecology on an environmental gradient: Calike edentula on a sand dune, Oecologia (Berlin), 52, 345, 10.1007/BF00367958 Watkinson, 1985, On the abundance of plants along an environmental gradient, J. Ecol., 73, 569, 10.2307/2260494 Khaladi, 2000, An explicit approach to evolutionarily stable dispersal strategies with a cost of dispersal, J. Nonlinear Anal. Ser. B, 1, 137, 10.1016/S0362-546X(99)00397-1 Morris, 1994, Habitat matching: alternatives and implications to populations and communities, Evol. Ecol., 8, 387, 10.1007/BF01238190 Houston, 1995, The distribution of animals between resources: a compromise between equal numbers and equal intake rates, Anim. Behav., 49, 248, 10.1016/0003-3472(95)80175-8 Kawecki, 2002, Evolutionary consequences of asymmetric dispersal rates, Am. Nat., 160, 333, 10.1086/341519 Parker, 1978, Searching for mates, 214 Sutherland, 1996 Okubo, 1986, Dynamical aspects of animal; grouping: swarms, schools, flocks and herds, Adv. Biophys., 22, 1, 10.1016/0065-227X(86)90003-1 Maynard Smith, 1976, Evolution and the theory of games, Amer. Sci., 64, 41 Calsina, 2004, Small mutation rate and evolutionary stable strategies in infinite dimensional adaptive dynamics, J. Math. Biol., 48, 135, 10.1007/s00285-003-0226-6 Haldane, 1937, The effect of variation on fitness, Am. Nat., 71, 337, 10.1086/280722 Dockery, 1998, The evolution of slow dispersal rates: a reaction diffusion model, J. Math. Biol., 37, 61, 10.1007/s002850050120 Hutson, 2003, The evolution of dispersal, J. Math. Biol., 47, 483, 10.1007/s00285-003-0210-1 S. Kirkland, C.-K. Li, S.J. Schreiber, On the evolution of dispersal in patchy landscapes, preprint. Hutson, 2001, The evolution of dispersal rates in a heterogeneous time-periodic environment, J. Math. Biol., 43, 501, 10.1007/s002850100106