메뉴 건너뛰기




Volumn 36, Issue 3, 2002, Pages 307-319

Dynamical stabilization of an unstable equilibrium in chemical and biological systems

Author keywords

Gray Scott model; Predator prey model; Reaction diffusion systems; Wave propagation

Indexed keywords


EID: 0037119527     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(02)00127-9     Document Type: Conference Paper
Times cited : (41)

References (28)
  • 7
    • 0002011401 scopus 로고
    • On the chemical basis of morphogenesis
    • A.M. Turing, On the chemical basis of morphogenesis, Phil. Trans. R. Soc. Lond. B 237, 37-72, (1952).
    • (1952) Phil. Trans. R. Soc. Lond. B , vol.237 , pp. 37-72
    • Turing, A.M.1
  • 8
    • 0015442349 scopus 로고
    • Dissipative structure: An explanation and an ecological example
    • L.A. Segel and J.L. Jackson, Dissipative structure: An explanation and an ecological example, J. Theor. Biol. 37, 545-559, (1972).
    • (1972) J. Theor. Biol. , vol.37 , pp. 545-559
    • Segel, L.A.1    Jackson, J.L.2
  • 11
    • 0000742098 scopus 로고    scopus 로고
    • Complex motion of Brownian particles with energy deposit
    • F. Schweitzer, W. Ebeling and B. Tilch, Complex motion of Brownian particles with energy deposit, Phys. Rev. Lett. 80, 5044-5047, (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 5044-5047
    • Schweitzer, F.1    Ebeling, W.2    Tilch, B.3
  • 12
    • 0009636209 scopus 로고
    • Random dispersal in theoretical populations
    • J.G. Skellam, Random dispersal in theoretical populations, Biometrika 38, 196-218, (1951).
    • (1951) Biometrika , vol.38 , pp. 196-218
    • Skellam, J.G.1
  • 13
    • 0002737808 scopus 로고
    • A model of patchiness for prey-predator plankton populations
    • D. Dubois, A model of patchiness for prey-predator plankton populations, Ecological Modelling 1, 67-80, (1975).
    • (1975) Ecological Modelling , vol.1 , pp. 67-80
    • Dubois, D.1
  • 14
    • 0000727302 scopus 로고
    • A spatial model of plankton patchiness
    • J.S. Wroblewski and J.J. O'Brien, A spatial model of plankton patchiness, Marine Biology 35, 161-176, (1976).
    • (1976) Marine Biology , vol.35 , pp. 161-176
    • Wroblewski, J.S.1    O'Brien, J.J.2
  • 15
    • 0027845917 scopus 로고
    • Spatio-temporal pattern formation in nonlinear non-equilibrium plankton dynamics
    • H. Malchow, Spatio-temporal pattern formation in nonlinear non-equilibrium plankton dynamics, Proc. R. Soc. Lond. B251, 103-109, (1993).
    • (1993) Proc. R. Soc. Lond. , vol.B251 , pp. 103-109
    • Malchow, H.1
  • 16
    • 0033120656 scopus 로고    scopus 로고
    • A minimal model of pattern formation in a prey-predator system
    • S.V. Petrovskii and H. Malchow, A minimal model of pattern formation in a prey-predator system, Mathl. Comput. Modelling 29 (8), 49-63, (1999).
    • (1999) Mathl. Comput. Modelling , vol.29 , Issue.8 , pp. 49-63
    • Petrovskii, S.V.1    Malchow, H.2
  • 18
    • 0000509710 scopus 로고    scopus 로고
    • Spatial-temporal dynamics of a localized populational "burst" in a distributed prey-predator system
    • S.V. Petrovskii, M.E. Vinogradov and A.Yu. Morozov, Spatial-temporal dynamics of a localized populational "burst" in a distributed prey-predator system, Oceanology 38, 881-890, (1998).
    • (1998) Oceanology , vol.38 , pp. 881-890
    • Petrovskii, S.V.1    Vinogradov, M.E.2    Morozov, A.Yu.3
  • 19
    • 0020568654 scopus 로고
    • Travelling wave solutions of diffusive Lotka-Volterra equations
    • S.R. Dunbar, Travelling wave solutions of diffusive Lotka-Volterra equations, J. Math. Biol. 17, 11-32, (1983).
    • (1983) J. Math. Biol. , vol.17 , pp. 11-32
    • Dunbar, S.R.1
  • 20
    • 0001218738 scopus 로고    scopus 로고
    • Invadive wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave
    • J.A. Sherratt, Invadive wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave, Physica D 117, 145-166, (1998).
    • (1998) Physica D , vol.117 , pp. 145-166
    • Sherratt, J.A.1
  • 22
    • 0035718414 scopus 로고    scopus 로고
    • Wave of chaos: A new mechanism of pattern formation in a prey-predator system
    • S.V. Petrovskii and H. Malchow, Wave of chaos: A new mechanism of pattern formation in a prey-predator system, Theoretical Population Biology 59, 157-174, (2001).
    • (2001) Theoretical Population Biology , vol.59 , pp. 157-174
    • Petrovskii, S.V.1    Malchow, H.2
  • 23
    • 0001102631 scopus 로고
    • Complex patterns in simple systems
    • J.E. Pearson, Complex patterns in simple systems, Science 261, 189-192, (1993).
    • (1993) Science , vol.261 , pp. 189-192
    • Pearson, J.E.1
  • 25
    • 22444451797 scopus 로고    scopus 로고
    • Chaotic wakes and other wave-induced behavior in a system of reaction-diffusion equations
    • F. Davidson, Chaotic wakes and other wave-induced behavior in a system of reaction-diffusion equations, Int. J. of Bifurcation and Chaos 8, 1303-1313, (1998).
    • (1998) Int. J. of Bifurcation and Chaos , vol.8 , pp. 1303-1313
    • Davidson, F.1
  • 26
    • 0022890422 scopus 로고
    • Travelling waves in diffusive predator-prey equations: Periodic orbits and point-to-periodic heteroclinic orbits
    • S.R. Dunbar, Travelling waves in diffusive predator-prey equations: Periodic orbits and point-to-periodic heteroclinic orbits, SIAM J. Appl. Math. 46, 1057-1078, (1986).
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 1057-1078
    • Dunbar, S.R.1
  • 27
    • 0022200826 scopus 로고
    • Three distinct types of dynamic behaviour shown by a single planktonic system
    • W.W. Murdoch and E. McCauley, Three distinct types of dynamic behaviour shown by a single planktonic system, Nature 316, 628-630, (1985).
    • (1985) Nature , vol.316 , pp. 628-630
    • Murdoch, W.W.1    McCauley, E.2
  • 28
    • 0030666139 scopus 로고    scopus 로고
    • The spatial dimension in population fluctuations
    • E. Ranta, V. Kaitala and P. Lundberg, The spatial dimension in population fluctuations, Science 278, 1621-1623, (1997).
    • (1997) Science , vol.278 , pp. 1621-1623
    • Ranta, E.1    Kaitala, V.2    Lundberg, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.