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Conferencias 12 (K, the ‘carrying capacity’) is mirrored by inverse density dependence at the lower threshold. However there have been few papers focused on population dynamics or discussing its stabilizing or destabilizing effects on the predator–prey systems [3, 6, 11, 14]. Here, we focus our attention on deterministic continuous time model describing the predation interaction, because simple mathematical models can reveal much about the dynamics and the important implications of this phenomenon [7]. We show that the marked differences between logistic growth and growth subject to Allee effects has a profound influence on the interaction, but different results are obtained when other forms to this phenomenon are assumed [21]. References [1] Allee, W. C., 1931, Animal aggregations: A study in general sociology, University of Chicago.Press, Chicago. Il. [2] Allee, W. C., 1938. The social life of animals, W. W. Norton and Co. New York. [3] Bazykin, A. D., Berezovskaya, F. S., Isaev, A. S., and Khlebopros, R. G., 1997. Dynamics of forest insect density: Bifurcation approach, Journal of Theoretical Biology 186, 267. [4] Brauer, F., and Castillo-Chávez, C., 2001 Mathematical models in Population Biology and Epidemiology, TAM 40, Springer-Verlag. [5] Clark, C. W., 1990. Mathematical Bioeconomic: The optimal management of renewable resources, (second edition). John Wiley and Sons. [6] Conway E. D. and Smoller, J. A., 1986, Global Analysis of a System of Predator-Prey Equations. SIAM J. Applied Mathematics, Vol. 46, No.4, 630- 642. [7] Courchamp, F., Clutton-Brock, T., and Grenfell, B., 1999. Inverse dependence and the Allee effect, Trends in Ecology and Evolution Vol 14, No. 10, 405-410. [8] Dennis, B., 1989. Allee effects: population growth, critical density, and the chance of extinction, Natural Resource Modeling, Vol 3, No. 4, 481-538. [9] Dennis, B., 2002. Allee effects in stochastic populations, Oikos Vol. 96, 389- 401. [10] González-Olivares, E., Meneses-Alcay, H., and González-Yañez, B., 2005, Metastable dynamics by considering strong and weak Allee effect on prey in Rosenzweig-McArthur predator-prey model, submitted. [11] Kent, A., Doncaster, C. P.,and T. Sluckin, 2003. Consequences for depredators of rescue and Allee effects on prey, Ecological Modelling Vol. 162, 233-245. [12] Liermann, M. and R. Hilborn, 2001, Depensation: evidence models and implications, Fish and Fisheries, Vol. 2 33-58. [13] McCarthy, M. A., 1997. The Allee effect, finding mates and theoretical models. Ecological Modelling 103, 99-102. [14] Meneses-Alcay, H and González-Olivares E., (2004). Consequences of the Allee effect on Rosenzweig-McArthur predator-prey model, In R. Mondini (Ed.) Proceedings of the Third Brazilian Symposium on Mathematical and Computational Biology, E-Papers Servicos Editoriais Ltda, Río de Janeiro, Volumen 2, 264-277. [15] Stephens, P. A., and Sutherland, W. J., 1999. Consequences of the Allee effect for behavior, ecology and conservation, Trends in Ecology and Evolution, Vol.14(10) 401-405.
Conferencias 13 [16] P. A. Stephens, W. J. Sutherland Vertebrate mating systems, Allee effects and conservation, In: Apollonio et (eds.), Vertebrate mating systems, World Scientific Publishing, chapter 9, 2000. [17] Thieme, H. R., 2003. Mathematics in Population Biology, Princeton Series in Theoretical and Computational Biology, Princeton University Press. [18] Turchin, P., 2003 Complex population dynamics: a theoretical/empirical synthesis, Princeton University Press. [19] Wang, G., Liang, X-G., and Wang, F-Z., 1999. Te competitive dynamics of populations subject to an Allee effect, Ecological Modelling 124, 183-192. [20] Wang, M-H and M. Kot, 2001, Speeds of invasion in a model with strong or weak Allee effects, Mathematical Biociences Vol 171, Nº 1, 83-97. [21] Zhou, S-R., Liu, Y-F. and Wang, G., 2005. The stability of predator-prey systems subject to the Allee effect, Theoretical Populations Biology 67, 23- 31.
Page 3 and 4: ORGANIZADO POR LA SOCIEDAD LATINOAM
Page 5 and 6: (en orden alfabético) COMITÉ CIEN
Page 7 and 8: CURSILLOS Cursillo Nº1: Dinámica
Page 9: CONFERENCIAS INVITADAS
Page 12 and 13: Conferencias 10 Estabilidad y persi
Page 16 and 17: Conferencias 14 Víctimas Inmigrant
Page 18 and 19: Conferencias 16 Influencia de la di
Page 21 and 22: Resumenes 19 Bifurcaciones de Hopf
Page 23 and 24: Resumenes 21 where y = y(t) represe
Page 25 and 26: Resumenes 23 Dinámica del modelo d
Page 27 and 28: Resumenes 25 In this work, we propo
Page 29 and 30: Resumenes 27 Simulação computacio
Page 31 and 32: Resumenes 29 of the minisymposium:
Page 33 and 34: Resumenes 31 Honeybee, Apis mellife
Page 35 and 36: Resumenes 33 The minimum ratio is t
Page 37 and 38: Resumenes 35 [1] On the role of end
Page 39 and 40: Resumenes 37 Modelo matemático de
Page 41 and 42: Resumenes 39 Figure 1: Plano de fas
Page 43 and 44: Resumenes 41 Dinámica de poblacion
Page 45 and 46: Resumenes 43 El método de las solu
Page 47 and 48: Resumenes 45 Dinámica de un tumor
Page 49 and 50: Resumenes 47 Several cancer models
Page 51 and 52: Resumenes 49 process is physically
Page 53 and 54: Resumenes 51 For the analysis of fr
Page 55 and 56: Resumenes 53 Sustainability in floo
Page 57 and 58: Resumenes 55 Sincronismo em redes d
Page 59 and 60: Resumenes 57 Um modelo de autômato
Page 61 and 62: Resumenes 59 Um modelo matemático
Page 63 and 64: Resumenes 61 Redes de mapas acoplad
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Resumenes 63 Sobre la dinámica de
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Resumenes 65 Un modelo de depredaci
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Resumenes 67 There exists wide evid
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Resumenes 69 Modelado del control n
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Resumenes 71 Modelo de red neuronal
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Resumenes 73 Efectos de la radiaci
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Resumenes 75 Un modelo matemático
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Resumenes 77 Estudio comparativo de
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Resumenes 79 Introduction The proje
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Resumenes 81 formulation to obtain
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Resumenes 83 tiene un único punto
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Resumenes 85 [4] Courchamp, F., Clu
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Resumenes 87 An important part of a
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Resumenes 89 A(H3N2). Starting in V
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Resumenes 91 i) Panmixia, donde se
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Resumenes 93 punto de equilibrio y
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Resumenes 95 Un modelo epidemiológ
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Resumenes 97 Aproximación saddlepo
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Resumenes 99 [3] Daniels, H. E. 196
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Resumenes 101 bloqueados. El nudo q
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Resumenes 103 Referencias • Stauf
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Resumenes 105 Un modelo dinámico d
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Resumenes 107 Un modelo en ecuacion
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Resumenes 109 The mite show a prefe
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Resumenes 111 Ondas viajantes en un
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Resumenes 113 [5] Pregnolatto S. de
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Resumenes 115 All this will enable
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Resumenes 117 Extensión de un mode
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Resumenes 119 ∂C ∂C C = 0. = 0.
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Resumenes 121 Comparación de Enfoq
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Resumenes 123 Refúgios Espaciais e
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Resumenes 125 La dinámica del sest
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Resumenes 127 Dinámica poblacional
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Resumenes 129 Aproximación y simul
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Resumenes 131 An age-structured fin
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Resumenes 133 Respuestas demográfi
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Resumenes 135 Modelando el efecto A
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Resumenes 137 the Allee effect are
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Resumenes 139 Tratamientos de endom
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Resumenes 141 Implicaciones del efe
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Resumenes 143 phenomenon has been e
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Resumenes 145 Dinámica individual
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Resumenes 147 • f mixing ⇔ f mi
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Resumenes 149 Introduction The inve
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Resumenes 151 DNA microarrays are t
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Resumenes 153 V. Cholerae: Primeros
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Resumenes 155 Análisis cuantitativ
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Resumenes 157 Dinámica de un model
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Resumenes 159 Obtención de paráme
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Resumenes 161 [4] Nagy K. A (1987)
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Resumenes 163 diferencial automáti
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Resumenes 165 The localized peaks S
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Resumenes 167 obteniéndose que sie
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Resumenes 169 [CLARK 90] Clark, C.
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Resumenes 171 Numerical algorithms
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Resumenes 173 The second method of
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Resumenes 175 los parámetros son t
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Resumenes 177 Bifurcación hacia at
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Resumenes 179 Malaria is the tropic
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