메뉴 건너뛰기




Volumn 241, Issue 2, 2006, Pages 307-320

Catalyst-induced growth with limited catalyst lifespan and competition

Author keywords

AB model; Adaptation; Autocatalysis; Directed percolation; Localization; Logistic growth

Indexed keywords

CHEMICAL SUBSTANCE; ECOLOGICAL MODELING; ECOLOGY; MONTE CARLO ANALYSIS; NUTRIENT DYNAMICS; STOCHASTICITY;

EID: 33745608047     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2005.11.031     Document Type: Article
Times cited : (13)

References (37)
  • 1
    • 24244444170 scopus 로고
    • Absence of diffusion in certain random lattices
    • Anderson P.W. Absence of diffusion in certain random lattices. Phys. Rev. 109 (1958) 1492-1505
    • (1958) Phys. Rev. , vol.109 , pp. 1492-1505
    • Anderson, P.W.1
  • 2
    • 0035971299 scopus 로고    scopus 로고
    • Population dynamics: Poisson approximation and its relation to the Langevin process
    • Aparicio J.P., and Solari H.G. Population dynamics: Poisson approximation and its relation to the Langevin process. Phys. Rev. Lett. 86 (2001) 4183
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 4183
    • Aparicio, J.P.1    Solari, H.G.2
  • 4
    • 3342997262 scopus 로고    scopus 로고
    • Theory of branching and annihilating random walks
    • Cardy J., and Tauber U.C. Theory of branching and annihilating random walks. Phys. Rev. Lett. 77 23 (1996) 4780-4783
    • (1996) Phys. Rev. Lett. , vol.77 , Issue.23 , pp. 4780-4783
    • Cardy, J.1    Tauber, U.C.2
  • 5
    • 0031634991 scopus 로고    scopus 로고
    • Field theory of branching and annihilating random walks
    • Cardy J.L., and Tauber U.C. Field theory of branching and annihilating random walks. J. Stat. Phys. 90 1 (1998)
    • (1998) J. Stat. Phys. , vol.90 , Issue.1
    • Cardy, J.L.1    Tauber, U.C.2
  • 7
    • 36149049574 scopus 로고
    • Second quantization representation for classical many-particle system
    • Doi M. Second quantization representation for classical many-particle system. J. Phys. A: Math. Gen. 9 (1976) 1465-1477
    • (1976) J. Phys. A: Math. Gen. , vol.9 , pp. 1465-1477
    • Doi, M.1
  • 8
    • 0000268135 scopus 로고
    • The advance of advantageous genes
    • Fisher R.A. The advance of advantageous genes. Ann. Eugenics 7 (1937) 355-369
    • (1937) Ann. Eugenics , vol.7 , pp. 355-369
    • Fisher, R.A.1
  • 10
    • 1542777068 scopus 로고
    • On phase transitions in Schlogl's second model
    • Grassberger P. On phase transitions in Schlogl's second model. Z. Phys. B 47 (1982) 365-374
    • (1982) Z. Phys. B , vol.47 , pp. 365-374
    • Grassberger, P.1
  • 11
    • 36149028715 scopus 로고
    • Directed percolation in 2+1 dimensions
    • Grassberger P. Directed percolation in 2+1 dimensions. J. Phys. A 22 17 (1989) 3673-3679
    • (1989) J. Phys. A , vol.22 , Issue.17 , pp. 3673-3679
    • Grassberger, P.1
  • 12
    • 33745605375 scopus 로고    scopus 로고
    • Grassberger, P., 1995. Shimla Conference on Complex Systems, New Delhi.
  • 13
    • 0012582012 scopus 로고
    • Reggeon field theory (Schlogl's first model) on a lattice: Monte Carlo calculation of critical behavior
    • Grassberger P., and De la Torre A. Reggeon field theory (Schlogl's first model) on a lattice: Monte Carlo calculation of critical behavior. Ann. Phys. 122 (1979) 373-396
    • (1979) Ann. Phys. , vol.122 , pp. 373-396
    • Grassberger, P.1    De la Torre, A.2
  • 15
    • 0000852884 scopus 로고    scopus 로고
    • Spreading in media with long-time memory
    • Grassberger P., Chate H., and Rousseau G. Spreading in media with long-time memory. Phys. Rev. E 55 (1997) 2488-2495
    • (1997) Phys. Rev. E , vol.55 , pp. 2488-2495
    • Grassberger, P.1    Chate, H.2    Rousseau, G.3
  • 16
    • 34250246792 scopus 로고
    • On the nonequilibrium phase transition in reaction-diffusion systems with an absorbing stationary state
    • Janssen H.K. On the nonequilibrium phase transition in reaction-diffusion systems with an absorbing stationary state. Z. Phys. B 42 (1981) 151-154
    • (1981) Z. Phys. B , vol.42 , pp. 151-154
    • Janssen, H.K.1
  • 17
    • 0000946349 scopus 로고
    • Series analysis of the generalized contact process
    • Jensen I., and Dickman R. Series analysis of the generalized contact process. Physica A 203 (1994) 175-188
    • (1994) Physica A , vol.203 , pp. 175-188
    • Jensen, I.1    Dickman, R.2
  • 18
    • 0025985176 scopus 로고
    • Contributions to the mathematical theory of epidemics-I. 1927
    • Kermack W.O., and McKendrick A.G. Contributions to the mathematical theory of epidemics-I. 1927. Proc. Roy. Soc. London A 53 1-2 (1991) 33-55
    • (1991) Proc. Roy. Soc. London A , vol.53 , Issue.1-2 , pp. 33-55
    • Kermack, W.O.1    McKendrick, A.G.2
  • 19
    • 33745611703 scopus 로고    scopus 로고
    • Kesten, H.S.V., 2002. Branching random walk with catalysts. Reports Institute Mittag-Leffler, ISSN:1103-467X.
  • 20
    • 0002722044 scopus 로고
    • Etude de l''equation de la diffusion avec croissance de la quantit'e de la mati'ere at son application a un probl`em biologique
    • Kolmogorov A.N., Petrovskii I., and Piskounov N. Etude de l''equation de la diffusion avec croissance de la quantit'e de la mati'ere at son application a un probl`em biologique. Moscow Univ. Bull. Math 1 (1937) 1-25
    • (1937) Moscow Univ. Bull. Math , vol.1 , pp. 1-25
    • Kolmogorov, A.N.1    Petrovskii, I.2    Piskounov, N.3
  • 22
    • 3042733157 scopus 로고    scopus 로고
    • Lin, A.L., Bernward, A.M., Torres-Oviedo, G., Lincoln, B., Josef Käs, K. J., Swinney, H.L., 2004. Localization and extinction of bacterial populations under inhomogeneous growth conditions. Biophys. J. 87, 75-80.
  • 23
    • 0035426487 scopus 로고    scopus 로고
    • The emergence of spatial complexity in the immune system
    • Louzoun Y., Solomon S., Atlan H., and Cohen I.R. The emergence of spatial complexity in the immune system. Physica A 297 1-2 (2001) 242-252
    • (2001) Physica A , vol.297 , Issue.1-2 , pp. 242-252
    • Louzoun, Y.1    Solomon, S.2    Atlan, H.3    Cohen, I.R.4
  • 24
  • 25
    • 0037407781 scopus 로고    scopus 로고
    • Proliferation and competition in discrete biological systems
    • Louzoun Y., Solomon S., Atlan H., and Cohen I.R. Proliferation and competition in discrete biological systems. Bull. Math. Biol. 65 3 (2003) 375-396
    • (2003) Bull. Math. Biol. , vol.65 , Issue.3 , pp. 375-396
    • Louzoun, Y.1    Solomon, S.2    Atlan, H.3    Cohen, I.R.4
  • 26
    • 0345328166 scopus 로고    scopus 로고
    • World-size global markets lead to economic instability
    • Louzoun Y., Solomon S., Goldenberg J., and Mazursky D. World-size global markets lead to economic instability. Artif. Life 9 4 (2003) 357-370
    • (2003) Artif. Life , vol.9 , Issue.4 , pp. 357-370
    • Louzoun, Y.1    Solomon, S.2    Goldenberg, J.3    Mazursky, D.4
  • 29
    • 0001741961 scopus 로고    scopus 로고
    • Non-hermitian localization and population biology
    • Nelson D.R., and Shnerb N.M. Non-hermitian localization and population biology. Phys. Rev. E 58 (1998) 1383
    • (1998) Phys. Rev. E , vol.58 , pp. 1383
    • Nelson, D.R.1    Shnerb, N.M.2
  • 31
    • 0022131433 scopus 로고
    • Path integral approach to birth-death processes on a lattice
    • Peliti L. Path integral approach to birth-death processes on a lattice. J. Phys. France 46 (1985) 1469
    • (1985) J. Phys. France , vol.46 , pp. 1469
    • Peliti, L.1
  • 33
    • 0034641717 scopus 로고    scopus 로고
    • The importance of being discrete: life always wins on the surface
    • Shnerb N.M., Louzoun Y., Bettelheim E., and Solomon S. The importance of being discrete: life always wins on the surface. Proc. Natl Acad. Sci. USA 97 19 (2000) 10322-10324
    • (2000) Proc. Natl Acad. Sci. USA , vol.97 , Issue.19 , pp. 10322-10324
    • Shnerb, N.M.1    Louzoun, Y.2    Bettelheim, E.3    Solomon, S.4
  • 35
    • 0009636209 scopus 로고
    • Random dispersal in theoretical populations
    • Skellam J.C. Random dispersal in theoretical populations. Biometrika 38 (1951) 196
    • (1951) Biometrika , vol.38 , pp. 196
    • Skellam, J.C.1
  • 36
    • 0002298459 scopus 로고
    • Recherches mathematiques sur la loi d'accrossement de la population
    • Verhulst P.F. Recherches mathematiques sur la loi d'accrossement de la population. Mem. Acad. R. Bruxelles 18 (1838) 1-38
    • (1838) Mem. Acad. R. Bruxelles , vol.18 , pp. 1-38
    • Verhulst, P.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.