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Volumn 81, Issue 2, 2010, Pages

Extinction of metastable stochastic populations

Author keywords

[No Author keywords available]

Indexed keywords

ABSORBING STATE; BRILLOUIN; DETAILED BALANCE; ENTROPIC BARRIER; FIXED POINTS; MASTER EQUATIONS; META-STABLE STATE; MULTISTEP PROCESS; POPULATION SIZES; PREEXPONENTIAL FACTOR; QUASI-STATIONARY; RATE EQUATIONS; SINGLE-STEP PROCESS; STOCHASTIC POPULATION; TIME-TO-EXTINCTION; WKB APPROXIMATIONS;

EID: 76749134243     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.021116     Document Type: Article
Times cited : (220)

References (33)
  • 2
    • 0004271137 scopus 로고    scopus 로고
    • edited by S. R. Beissinger and D. R. McCullough (University of Chicago Press, Chicago
    • Population Viability Analysis, edited by, S. R. Beissinger, and, D. R. McCullough, (University of Chicago Press, Chicago, 2002).
    • (2002) Population Viability Analysis
  • 5
    • 38949182410 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.100.058105
    • M. Assaf and B. Meerson, Phys. Rev. Lett. 100, 058105 (2008). 10.1103/PhysRevLett.100.058105
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 058105
    • Assaf, M.1    Meerson, B.2
  • 8
    • 76749121189 scopus 로고    scopus 로고
    • We will assume that the stochastic population does not exhibit an unlimited growth (escape to infinite population size), see Ref., and n=0 is the only absorbing state.
    • We will assume that the stochastic population does not exhibit an unlimited growth (escape to infinite population size), see Ref., and n=0 is the only absorbing state.
  • 9
    • 33750191985 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.74.041115
    • M. Assaf and B. Meerson, Phys. Rev. E 74, 041115 (2006). 10.1103/PhysRevE.74.041115
    • (2006) Phys. Rev. e , vol.74 , pp. 041115
    • Assaf, M.1    Meerson, B.2
  • 10
    • 33751110243 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.97.200602
    • M. Assaf and B. Meerson, Phys. Rev. Lett. 97, 200602 (2006). 10.1103/PhysRevLett.97.200602
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 200602
    • Assaf, M.1    Meerson, B.2
  • 14
    • 41349122474 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.70.041106
    • V. Elgart and A. Kamenev, Phys. Rev. E 70, 041106 (2004). 10.1103/PhysRevE.70.041106
    • (2004) Phys. Rev. e , vol.70 , pp. 041106
    • Elgart, V.1    Kamenev, A.2
  • 15
    • 33749458189 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.74.041101
    • V. Elgart and A. Kamenev, Phys. Rev. E 74, 041101 (2006). 10.1103/PhysRevE.74.041101
    • (2006) Phys. Rev. e , vol.74 , pp. 041101
    • Elgart, V.1    Kamenev, A.2
  • 20
    • 34047145329 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.75.031122
    • M. Assaf and B. Meerson, Phys. Rev. E 75, 031122 (2007). 10.1103/PhysRevE.75.031122
    • (2007) Phys. Rev. e , vol.75 , pp. 031122
    • Assaf, M.1    Meerson, B.2
  • 21
    • 34047180808 scopus 로고
    • 10.1016/0378-4371(78)90172-3
    • J. W. Turner and M. Malek-Mansour, Physica A 93, 517 (1978). 10.1016/0378-4371(78)90172-3
    • (1978) Physica A , vol.93 , pp. 517
    • Turner, J.W.1    Malek-Mansour, M.2
  • 22
    • 57949097644 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.78.060103
    • B. Meerson and P. V. Sasorov, Phys. Rev. E 78, 060103 (R) (2008). 10.1103/PhysRevE.78.060103
    • (2008) Phys. Rev. e , vol.78 , pp. 060103
    • Meerson, B.1    Sasorov, P.V.2
  • 23
    • 66349126534 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.79.041149
    • C. Escudero and A. Kamenev, Phys. Rev. E 79, 041149 (2009). 10.1103/PhysRevE.79.041149
    • (2009) Phys. Rev. e , vol.79 , pp. 041149
    • Escudero, C.1    Kamenev, A.2
  • 24
    • 76749128259 scopus 로고    scopus 로고
    • At nontrivial fixed points of the rate equation, q= qi = ni /N>0, the two real roots of the equation H (q,p) =0 merge at p=0.
    • At nontrivial fixed points of the rate equation, q= qi = ni /N>0, the two real roots of the equation H (q,p) =0 merge at p=0.
  • 25
    • 76749115024 scopus 로고    scopus 로고
    • If S″ (0) =0, then it is more convenient to use Eq. .
    • If S″ (0) =0, then it is more convenient to use Eq..
  • 27
    • 76749133896 scopus 로고    scopus 로고
    • We remind the reader that, in order to obtain Eq., we rescaled the reaction rates and time by the linear decay rate constant w -1 ′ (0) =α. To express the MTE in physical units one needs to put the factor α back.
    • We remind the reader that, in order to obtain Eq., we rescaled the reaction rates and time by the linear decay rate constant w -1 ′ (0) =α. To express the MTE in physical units one needs to put the factor α back.
  • 29
    • 0035822368 scopus 로고    scopus 로고
    • 10.1006/jtbi.2001.2328
    • J. Nåsell, J. Theor. Biol. 211, 11 (2001). 10.1006/jtbi.2001.2328
    • (2001) J. Theor. Biol. , vol.211 , pp. 11
    • Nåsell, J.1
  • 30
    • 0035528749 scopus 로고    scopus 로고
    • 10.1239/jap/1011994180
    • O. Ovaskainen, J. Appl. Prob. 38, 898 (2001). 10.1239/jap/1011994180
    • (2001) J. Appl. Prob. , vol.38 , pp. 898
    • Ovaskainen, O.1
  • 31
    • 76749139717 scopus 로고    scopus 로고
    • In Refs. the parameter R0 was defined as λ (N-1) /μ. Therefore, their result for the MTE looks slightly different, but it is actually identical to [Eq. in the leading and subleading orders of N.
    • In Refs. the parameter R0 was defined as λ (N-1) /μ. Therefore, their result for the MTE looks slightly different, but it is actually identical to [Eq. in the leading and subleading orders of N.
  • 32
    • 0012723374 scopus 로고
    • 10.1016/0378-4371(80)90010-2
    • M. I. Dykman and M. A. Krivoglaz, Physica A 104, 480 (1980). 10.1016/0378-4371(80)90010-2
    • (1980) Physica A , vol.104 , pp. 480
    • Dykman, M.I.1    Krivoglaz, M.A.2
  • 33
    • 76749140209 scopus 로고    scopus 로고
    • The distance to bifurcation δ1 is defined in Refs. differently than in the present work. Their parameter δ1 is related to our parameter δ as δ1 = δ2, so the entropy barriers in Refs. scale with δ1 as δ1 3/2.
    • The distance to bifurcation δ1 is defined in Refs. differently than in the present work. Their parameter δ1 is related to our parameter δ as δ1 = δ2, so the entropy barriers in Refs. scale with δ1 as δ1 3/2.


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