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Volumn 5, Issue 3, 2008, Pages 567-583

Stabilization due to predator interference: Comparison of different analysis approaches

Author keywords

Bifurcation analysis; Functional response; Generalized model; Stability

Indexed keywords


EID: 52049095531     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2008.5.567     Document Type: Article
Times cited : (23)

References (41)
  • 1
    • 0030403458 scopus 로고    scopus 로고
    • Invulnerable prey and the paradox of enrichment
    • P. Abrams and C. J. Walters, Invulnerable prey and the paradox of enrichment Ecology 77 (1996), 1125-33.
    • (1996) Ecology , vol.77 , pp. 1125-1133
    • Abrams, P.1    Walters, C.J.2
  • 2
    • 30444445111 scopus 로고    scopus 로고
    • Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics
    • P. Auger, B. W. Kooi, R. B. Bravo de la Parra and J.-C. Poggiale, Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics, J. Theor. Biol. 238 (2006), 597-607.
    • (2006) J. Theor. Biol , vol.238 , pp. 597-607
    • Auger, P.1    Kooi, B.W.2    Bravo de la Parra, R.B.3    Poggiale, J.-C.4
  • 4
    • 0000076167 scopus 로고
    • Mutual interference between parasites or predators and its effect on searching efficiency
    • J. R. Beddington, Mutual interference between parasites or predators and its effect on searching efficiency, J. Anim. Ecol. 44 (1975), 331-40.
    • (1975) J. Anim. Ecol , vol.44 , pp. 331-340
    • Beddington, J.R.1
  • 5
    • 33747154077 scopus 로고    scopus 로고
    • Introducing a population into a steady community: The critical case, the center manifold and the direction of the bifurcation
    • B. Boldin, Introducing a population into a steady community: The critical case, the center manifold and the direction of the bifurcation, SIAM J. Appl. Math. 66 (2006) 1424-53.
    • (2006) SIAM J. Appl. Math , vol.66 , pp. 1424-1453
    • Boldin, B.1
  • 9
    • 37049248026 scopus 로고
    • Enriched predator-prey systems: Theoretical stability
    • M. E. Gilpin, Enriched predator-prey systems: Theoretical stability, Science 177 (1972), 902-4.
    • (1972) Science , vol.177 , pp. 902-904
    • Gilpin, M.E.1
  • 10
    • 15844390604 scopus 로고    scopus 로고
    • A stage structured predator-prey model and its dependence on maturation delay and death rate
    • S. A. Gourley and Y. Kuang, A stage structured predator-prey model and its dependence on maturation delay and death rate, J. Math. Biol. 49 (2004), 188-200.
    • (2004) J. Math. Biol , vol.49 , pp. 188-200
    • Gourley, S.A.1    Kuang, Y.2
  • 11
    • 0030617425 scopus 로고    scopus 로고
    • Babel, or the ecological stability discussions: An inventory and analysis of terminology and a guide for avoiding confusion
    • V. Grimm and C. Wissel, Babel, or the ecological stability discussions: An inventory and analysis of terminology and a guide for avoiding confusion, Oecologia 109 (1997), 323-34.
    • (1997) Oecologia , vol.109 , pp. 323-334
    • Grimm, V.1    Wissel, C.2
  • 12
    • 3342958219 scopus 로고    scopus 로고
    • Analytical search for bifurcation surfaces in parameter space
    • T. Gross and U. Feudel, Analytical search for bifurcation surfaces in parameter space, Physica D 195 (2004), 292-302.
    • (2004) Physica D , vol.195 , pp. 292-302
    • Gross, T.1    Feudel, U.2
  • 13
    • 32844460213 scopus 로고    scopus 로고
    • Generalized models as a universal approach to the analysis of nonlinear dynamical systems
    • T. Gross and U. Feudel, Generalized models as a universal approach to the analysis of nonlinear dynamical systems, Phys. Rev. E. 73 (2006), 016205.
    • (2006) Phys. Rev. E , vol.73 , pp. 016205
    • Gross, T.1    Feudel, U.2
  • 14
    • 1542358782 scopus 로고    scopus 로고
    • Enrichment and foodchain stability: The impact of different forms of predator-prey interaction
    • T. Gross, W. Ebenhöh and U. Feudel, Enrichment and foodchain stability: The impact of different forms of predator-prey interaction, J. Theor. Biol. 227 (2004), 349-58.
    • (2004) J. Theor. Biol , vol.227 , pp. 349-358
    • Gross, T.1    Ebenhöh, W.2    Feudel, U.3
  • 15
    • 17144409094 scopus 로고    scopus 로고
    • Long food chains are in general chaotic
    • T. Gross, W. Ebenhöh and U. Feudel, Long food chains are in general chaotic, Oikos 109 (2005), 135-44.
    • (2005) Oikos , vol.109 , pp. 135-144
    • Gross, T.1    Ebenhöh, W.2    Feudel, U.3
  • 17
    • 0000083221 scopus 로고
    • Age-dependent predation is not a simple process, i. continuous time models
    • A. Hastings, Age-dependent predation is not a simple process, i. continuous time models, Theor. Pop. Biol. 23 (1983), 347-62.
    • (1983) Theor. Pop. Biol , vol.23 , pp. 347-362
    • Hastings, A.1
  • 18
    • 0027079101 scopus 로고
    • Age-dependent dispersal is not a simple process: Density dependence, stability, and chaos
    • A. Hastings, Age-dependent dispersal is not a simple process: Density dependence, stability, and chaos, Theor. Pop. Biol. 41 (1992), 388-400.
    • (1992) Theor. Pop. Biol , vol.41 , pp. 388-400
    • Hastings, A.1
  • 19
    • 84880026161 scopus 로고
    • Some characteristics of simple types of predation and parasitism
    • C. S. Holling, Some characteristics of simple types of predation and parasitism, Can. Entomol. 91 (1959), 385-98.
    • (1959) Can. Entomol , vol.91 , pp. 385-398
    • Holling, C.S.1
  • 20
    • 0001500249 scopus 로고
    • Experimental studies on predation: Complex dispersion and levels of food in an acarine predator-prey interaction
    • C. B. Huffaker, K. P. Shea and S. G. Herman, Experimental studies on predation: Complex dispersion and levels of food in an acarine predator-prey interaction, Hilgardia 34 (1963), 305-30.
    • (1963) Hilgardia , vol.34 , pp. 305-330
    • Huffaker, C.B.1    Shea, K.P.2    Herman, S.G.3
  • 21
    • 0029510735 scopus 로고
    • Regulation of predator-prey systems through spatial interactions: A possible solution to the paradox of enrichment
    • V. A. A. Jansen, Regulation of predator-prey systems through spatial interactions: a possible solution to the paradox of enrichment, Oikos 74 (1995), 384-90.
    • (1995) Oikos , vol.74 , pp. 384-390
    • Jansen, V.A.A.1
  • 22
    • 0031683989 scopus 로고    scopus 로고
    • Enrichment can stabilize population dynamics: Autotoxins and density depen- cence
    • K. L. Kirk, Enrichment can stabilize population dynamics: Autotoxins and density depen- cence, Ecology 79 (1998), 2456-62.
    • (1998) Ecology , vol.79 , pp. 2456-2462
    • Kirk, K.L.1
  • 23
    • 0029161244 scopus 로고
    • The stabilizing role of cannibalism in a predator-prey system
    • C. Kohlmeier and W. Ebenhöh, The stabilizing role of cannibalism in a predator-prey system, Bull. Math. Biol. 57 (1995), 401-11.
    • (1995) Bull. Math. Biol , vol.57 , pp. 401-411
    • Kohlmeier, C.1    Ebenhöh, W.2
  • 24
    • 0043068053 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of ecosystems in a spatially homogeneous environment
    • B. W. Kooi, Numerical bifurcation analysis of ecosystems in a spatially homogeneous environment, Acta Biotheor. 51 (2003), 189-222.
    • (2003) Acta Biotheor , vol.51 , pp. 189-222
    • Kooi, B.W.1
  • 25
    • 0027800070 scopus 로고
    • A predator-prey model for zooplankton grazing on competing algal populations
    • M. Kretzschmar, R. M. Nisbet and E. McCauley, A predator-prey model for zooplankton grazing on competing algal populations, Theor. Popul. Biol. 44 (1993), 32-66.
    • (1993) Theor. Popul. Biol , vol.44 , pp. 32-66
    • Kretzschmar, M.1    Nisbet, R.M.2    McCauley, E.3
  • 27
    • 0033646273 scopus 로고    scopus 로고
    • Stoichiometry in producer-grazer systems: Linking energy flow with element cycling
    • I. Loladze, Y. Kuang and J. J. Elser, Stoichiometry in producer-grazer systems: Linking energy flow with element cycling, Bull. Math. Biol. 62 (2000), 1137-62
    • (2000) Bull. Math. Biol , vol.62 , pp. 1137-1162
    • Loladze, I.1    Kuang, Y.2    Elser, J.J.3
  • 28
    • 0027333403 scopus 로고
    • The effect of adaptive antipredator behavior on exploitative competition and mutualism between predators
    • H. Matsuda, P. A. Abrams and H. Hori, The effect of adaptive antipredator behavior on exploitative competition and mutualism between predators, Oikos 68 (1993), 549-59.
    • (1993) Oikos , vol.68 , pp. 549-559
    • Matsuda, H.1    Abrams, P.A.2    Hori, H.3
  • 29
    • 12944314880 scopus 로고    scopus 로고
    • Transition to spatiotemporal chaos can resolve the paradox of enrichment
    • S. Petrovskii, B.-L. Li and H. Malchow, Transition to spatiotemporal chaos can resolve the paradox of enrichment, Ecol. Complex. 1 (2004), 37-47.
    • (2004) Ecol. Complex , vol.1 , pp. 37-47
    • Petrovskii, S.1    Li, B.-L.2    Malchow, H.3
  • 30
    • 38649096252 scopus 로고    scopus 로고
    • Food-web connectance and predator interference dampen the paradox of enrichment
    • B. C. Rall, C. Guill and U. Brose, Food-web connectance and predator interference dampen the paradox of enrichment, Oikos 117 (2008), 202-13.
    • (2008) Oikos , vol.117 , pp. 202-213
    • Rall, B.C.1    Guill, C.2    Brose, U.3
  • 31
    • 7044286478 scopus 로고    scopus 로고
    • Destabilizing factors in slow-fast systems
    • S. Rinaldi and A. Gragnani, Destabilizing factors in slow-fast systems, Ecol. Modell. 180 (2004), 445-60.
    • (2004) Ecol. Modell , vol.180 , pp. 445-460
    • Rinaldi, S.1    Gragnani, A.2
  • 32
    • 0015243940 scopus 로고
    • Paradox of enrichment: Destabilization of exploitation ecosystems in ecological time
    • M. L. Rosenzweig, Paradox of enrichment: Destabilization of exploitation ecosystems in ecological time, Science 171 (1971), 385-87.
    • (1971) Science , vol.171 , pp. 385-387
    • Rosenzweig, M.L.1
  • 33
    • 0001524523 scopus 로고
    • Graphical representation and stability conditions of predator-prey interactions
    • M. L. Rosenzweig and R. H. MacArthur, Graphical representation and stability conditions of predator-prey interactions, Am. Nat. 97 (1963), 209-23.
    • (1963) Am. Nat , vol.97 , pp. 209-223
    • Rosenzweig, M.L.1    MacArthur, R.H.2
  • 34
    • 34248173835 scopus 로고    scopus 로고
    • The stability of ecosystems: A brief overview of the paradox of enrichment
    • S. Roy and J. Chattopadhyay, The stability of ecosystems: A brief overview of the paradox of enrichment, J. Biosci. 32 (2007), 421-8.
    • (2007) J. Biosci , vol.32 , pp. 421-428
    • Roy, S.1    Chattopadhyay, J.2
  • 36
    • 0028980865 scopus 로고
    • Implications of spatial heterogeneity for the paradox of enrichment
    • M. Scheffer and R. J. De Boer, Implications of spatial heterogeneity for the paradox of enrichment, Ecology 76 (1995), 2270-7.
    • (1995) Ecology , vol.76 , pp. 2270-2277
    • Scheffer, M.1    De Boer, R.J.2
  • 37
    • 52049097655 scopus 로고    scopus 로고
    • Computation and visualization of bifurcation surfaces
    • to appear
    • D. Stiefs, T. Gross, R. Steuer and U. Feudel, Computation and visualization of bifurcation surfaces, Int. J. Bif. Chaos 18, 2008, to appear.
    • (2008) Int. J. Bif. Chaos , vol.18
    • Stiefs, D.1    Gross, T.2    Steuer, R.3    Feudel, U.4
  • 38
    • 17644371384 scopus 로고    scopus 로고
    • A strategy to improve the contribution of complex simulation models to ecological theory
    • E. H. Van Nes and M. Scheffer, A strategy to improve the contribution of complex simulation models to ecological theory, Ecol. Mod. 185 (2005), 153-64.
    • (2005) Ecol. Mod , vol.185 , pp. 153-164
    • Van Nes, E.H.1    Scheffer, M.2
  • 39
    • 3042547264 scopus 로고    scopus 로고
    • Inducible defences and the paradox of enrichment
    • M. Vos, B. W. Kooi, D. L. DeAngelis and W. M. Mooij, Inducible defences and the paradox of enrichment, Oikos 105 (2004), 471-80.
    • (2004) Oikos , vol.105 , pp. 471-480
    • Vos, M.1    Kooi, B.W.2    DeAngelis, D.L.3    Mooij, W.M.4
  • 41
    • 0035819422 scopus 로고    scopus 로고
    • Predation in the presence of decoys: An inhibitory factor on pathogen control by bacteriophages or bdellovibrios in dense and diverse ecosystems
    • M. H. F. Wilkinson, Predation in the presence of decoys: An inhibitory factor on pathogen control by bacteriophages or bdellovibrios in dense and diverse ecosystems, J. Theor. Biol. 208 (2001), 27-36.
    • (2001) J. Theor. Biol , vol.208 , pp. 27-36
    • Wilkinson, M.H.F.1


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