메뉴 건너뛰기




Volumn 210, Issue 1, 2007, Pages 335-354

Effects of density-dependent migrations on stability of a two-patch predator-prey model

Author keywords

Aggregation methods; Bifurcation analysis; Community stability; Density dependent migrations; Spatial predator prey model

Indexed keywords

BIFURCATION (MATHEMATICS); BIODIVERSITY; ECOSYSTEMS; ENVIRONMENTAL IMPACT; TIME SERIES ANALYSIS;

EID: 35248822289     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2007.03.002     Document Type: Article
Times cited : (43)

References (34)
  • 1
    • 1842787588 scopus 로고    scopus 로고
    • Stabilizing effects in spatial parasitoid - host and predator-prey models: a review
    • Briggs C.J., and Hoopes M.F. Stabilizing effects in spatial parasitoid - host and predator-prey models: a review. Theor. Popul. Biol. 65 (2004) 299
    • (2004) Theor. Popul. Biol. , vol.65 , pp. 299
    • Briggs, C.J.1    Hoopes, M.F.2
  • 2
    • 0037114438 scopus 로고    scopus 로고
    • Dynamics of a fishery on two fishing zones with fish stock dependent migrations: aggregation and control
    • Mchich R., Auger P., Bravo de la Parra R., and Raissi N. Dynamics of a fishery on two fishing zones with fish stock dependent migrations: aggregation and control. Ecol. Model. 158 (2002) 51
    • (2002) Ecol. Model. , vol.158 , pp. 51
    • Mchich, R.1    Auger, P.2    Bravo de la Parra, R.3    Raissi, N.4
  • 3
    • 33947598743 scopus 로고    scopus 로고
    • Effect of predator density dependent dispersal of prey on stability of a predator-prey system
    • Mchich R., Auger P., and Poggiale J.C. Effect of predator density dependent dispersal of prey on stability of a predator-prey system. Math. Biosci. 206 (2007) 343
    • (2007) Math. Biosci. , vol.206 , pp. 343
    • Mchich, R.1    Auger, P.2    Poggiale, J.C.3
  • 5
    • 0035159749 scopus 로고    scopus 로고
    • Density-dependent dispersal in host-parasitoid assemblages
    • French D.R., and Travis J.M.J. Density-dependent dispersal in host-parasitoid assemblages. Oikos 95 (2001) 125
    • (2001) Oikos , vol.95 , pp. 125
    • French, D.R.1    Travis, J.M.J.2
  • 6
    • 0032004050 scopus 로고    scopus 로고
    • Interactions between local dynamics and dispersal: insights from single species models
    • Amarasekare P. Interactions between local dynamics and dispersal: insights from single species models. Theor. Popul. Biol. 53 (1998) 44
    • (1998) Theor. Popul. Biol. , vol.53 , pp. 44
    • Amarasekare, P.1
  • 7
    • 0031558406 scopus 로고    scopus 로고
    • On the evolution of density dependent dispersal in a spatially structured population model
    • Jánosi I.M., and Scheuring I. On the evolution of density dependent dispersal in a spatially structured population model. J. Theor. Biol. 187 (1997) 397
    • (1997) J. Theor. Biol. , vol.187 , pp. 397
    • Jánosi, I.M.1    Scheuring, I.2
  • 8
    • 0033593520 scopus 로고    scopus 로고
    • Finite metapopulation models with density-dependent migration and stochastic local dynamics
    • Saether B.E., Engen S., and Lande R. Finite metapopulation models with density-dependent migration and stochastic local dynamics. Proc. R. Soc. Lond. B 266 (1999) 113
    • (1999) Proc. R. Soc. Lond. B , vol.266 , pp. 113
    • Saether, B.E.1    Engen, S.2    Lande, R.3
  • 9
    • 0034968493 scopus 로고    scopus 로고
    • Stability in a metapopulation model with density-dependent dispersal
    • Silva J.A.L., de Castro M.L., and Justo D.A.R. Stability in a metapopulation model with density-dependent dispersal. Bull. Math. Biol. 63 (2001) 485
    • (2001) Bull. Math. Biol. , vol.63 , pp. 485
    • Silva, J.A.L.1    de Castro, M.L.2    Justo, D.A.R.3
  • 10
    • 3242689009 scopus 로고    scopus 로고
    • Spatial variation and density-dependent dispersal in competitive coexistence
    • Amarasekare P. Spatial variation and density-dependent dispersal in competitive coexistence. Proc. R. Soc. Lond. B 271 (2004) 1497
    • (2004) Proc. R. Soc. Lond. B , vol.271 , pp. 1497
    • Amarasekare, P.1
  • 11
    • 0345305376 scopus 로고    scopus 로고
    • The role of density-dependent dispersal in source-sink dynamics
    • Amarasekare P. The role of density-dependent dispersal in source-sink dynamics. J. Theor. Biol. 226 (2004) 159
    • (2004) J. Theor. Biol. , vol.226 , pp. 159
    • Amarasekare, P.1
  • 12
    • 0006478083 scopus 로고
    • The role of rapid dispersal in the population dynamics of competition
    • Shigesada N., and Roughgarden J. The role of rapid dispersal in the population dynamics of competition. Theor. Popul. Biol. 21 (1982) 353
    • (1982) Theor. Popul. Biol. , vol.21 , pp. 353
    • Shigesada, N.1    Roughgarden, J.2
  • 13
    • 0023470997 scopus 로고
    • Aggregation in model ecosystems I. Perfect aggregation
    • Iwasa Y., Andreasen V., and Levin S.A. Aggregation in model ecosystems I. Perfect aggregation. Ecol. Model. 37 (1987) 287
    • (1987) Ecol. Model. , vol.37 , pp. 287
    • Iwasa, Y.1    Andreasen, V.2    Levin, S.A.3
  • 15
    • 0001920442 scopus 로고
    • Complex ecological models with simple dynamics: from individuals to populations
    • Auger P., and Roussarie R. Complex ecological models with simple dynamics: from individuals to populations. Acta Biotheor. 42 (1994) 111
    • (1994) Acta Biotheor. , vol.42 , pp. 111
    • Auger, P.1    Roussarie, R.2
  • 16
    • 0032006632 scopus 로고    scopus 로고
    • P. Auger, J.C. Poggiale, Aggregation and emergence in systems of ordinary differential equations, in: P. Antonelli, P. Auger (Eds.), Special Issue: Aggregation and Emergence in Population Dynamics, Math. Comput. Model. 27 (1998) 1.
  • 17
    • 0033838217 scopus 로고    scopus 로고
    • Methods of aggregation of variables in population dynamics
    • Auger P., and Bravo de la Parra R. Methods of aggregation of variables in population dynamics. CR Acad. Sci. Sci. de la Vie 323 (2000) 665
    • (2000) CR Acad. Sci. Sci. de la Vie , vol.323 , pp. 665
    • Auger, P.1    Bravo de la Parra, R.2
  • 18
    • 35248884690 scopus 로고    scopus 로고
    • P. Auger, R. Bravo de la Parra, J.C. Poggiale, E. Sánchez, T. Nguyen Huu, Aggregation of variables and applications to population dynamics, Springer, 2007, Book chapter.
  • 19
    • 0032004765 scopus 로고    scopus 로고
    • Fast game theory coupled to slow population dynamics: the case of domestic cat populations
    • Auger P., and Pontier D. Fast game theory coupled to slow population dynamics: the case of domestic cat populations. Math. Biosci. 148 (1998) 65
    • (1998) Math. Biosci. , vol.148 , pp. 65
    • Auger, P.1    Pontier, D.2
  • 20
    • 0036990977 scopus 로고    scopus 로고
    • Using aggregation methods to assess toxicant effects on population dynamics in spatial systems
    • Chaumot A., Charles S., Flammarion P., Garric J., and Auger P. Using aggregation methods to assess toxicant effects on population dynamics in spatial systems. Ecol. Appl. 12 (2002) 1771
    • (2002) Ecol. Appl. , vol.12 , pp. 1771
    • Chaumot, A.1    Charles, S.2    Flammarion, P.3    Garric, J.4    Auger, P.5
  • 21
    • 0037459935 scopus 로고    scopus 로고
    • Migration frequency and the persistence of host parasitoid interactions
    • Lett C., Auger P., and Bravo de la Parra R. Migration frequency and the persistence of host parasitoid interactions. J. Theor. Biol. 221 (2003) 639
    • (2003) J. Theor. Biol. , vol.221 , pp. 639
    • Lett, C.1    Auger, P.2    Bravo de la Parra, R.3
  • 22
    • 32644473193 scopus 로고    scopus 로고
    • Effects of aggressive behaviour on age structured population dynamics
    • Dubreuil E., Auger P., Gaillard J.-M., and Khaladi M. Effects of aggressive behaviour on age structured population dynamics. Ecol. Model. 193 (2006) 777
    • (2006) Ecol. Model. , vol.193 , pp. 777
    • Dubreuil, E.1    Auger, P.2    Gaillard, J.-M.3    Khaladi, M.4
  • 23
    • 30444445111 scopus 로고    scopus 로고
    • Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics
    • Auger P., Kooi B.W., Bravo de la Parra R., and Poggiale J.-C. Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics. J. Theor. Biol. 238 (2006) 597
    • (2006) J. Theor. Biol. , vol.238 , pp. 597
    • Auger, P.1    Kooi, B.W.2    Bravo de la Parra, R.3    Poggiale, J.-C.4
  • 26
    • 35248862477 scopus 로고    scopus 로고
    • E.J. Doedel, A.R. Champneys, T.F. Fairgrieve, Y.A. Kuznetsov, B. Sandstede, X. Wang, Auto 97: Continuation and bifurcation software for ordinary differential equations, Technical Report, Concordia University, Montreal, Canada, 1997.
  • 27
    • 4544313738 scopus 로고
    • Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
    • Khibnik A.I., Kuznetsov Yu.A., Levitin V.V., and Nikolaev E.V. Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. Physica D 62 (1993) 360
    • (1993) Physica D , vol.62 , pp. 360
    • Khibnik, A.I.1    Kuznetsov, Yu.A.2    Levitin, V.V.3    Nikolaev, E.V.4
  • 28
    • 35248859683 scopus 로고    scopus 로고
    • Yu. A. Kuznetsov, Elements of applied bifurcation theory, Applied Mathematical Sciences, third ed., vol. 112, Springer, New York, 2004.
  • 29
    • 35248875675 scopus 로고    scopus 로고
    • Maplesoft, Waterloo, Ontario, Canada, Maple software.
  • 30
    • 0000793907 scopus 로고
    • Dispersal and population interactions A
    • Levin S.A. Dispersal and population interactions A. Nature 108 (1974) 207
    • (1974) Nature , vol.108 , pp. 207
    • Levin, S.A.1
  • 31
    • 0029510735 scopus 로고
    • Regulation of predator-prey systems trough spatial interactions: a possible solution to the paradox of enrichment
    • Jansen V.A.A. Regulation of predator-prey systems trough spatial interactions: a possible solution to the paradox of enrichment. Oikos 74 (1995) 384
    • (1995) Oikos , vol.74 , pp. 384
    • Jansen, V.A.A.1
  • 33
    • 0036584790 scopus 로고    scopus 로고
    • Stabilizing dispersal delays in predator-prey metapopulation models
    • Neubert M.G., Klepac P., and van der Driessche P. Stabilizing dispersal delays in predator-prey metapopulation models. Theor. Popul. Biol. 61 (2002) 339
    • (2002) Theor. Popul. Biol. , vol.61 , pp. 339
    • Neubert, M.G.1    Klepac, P.2    van der Driessche, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.