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Volumn 235, Issue 5, 2011, Pages 1326-1341

Qualitative analysis of a stochastic ratio-dependent predatorprey system

Author keywords

Extinction; It's formula; Persistent in mean; Stable in time average; Stochastic ratio dependent predatorprey system

Indexed keywords

EXTINCTION; IT'S FORMULA; PERSISTENT IN MEAN; PREDATOR - PREY SYSTEM; TIME AVERAGES;

EID: 77957858386     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2010.08.021     Document Type: Article
Times cited : (118)

References (33)
  • 2
    • 4944258042 scopus 로고
    • Coupling in predatorprey dynamics: Ratio-dependence
    • R. Arditi, and L.R. Ginzburg Coupling in predatorprey dynamics: ratio-dependence J. Theoret. Biol. 139 1989 311 326
    • (1989) J. Theoret. Biol. , vol.139 , pp. 311-326
    • Arditi, R.1    Ginzburg, L.R.2
  • 3
    • 0000542895 scopus 로고
    • Variation in plankton densities among lakes: A case for ratio-dependent models
    • R. Arditi, L.R. Ginzburg, and H.R. Akcakaya Variation in plankton densities among lakes: a case for ratio-dependent models Am. Nat. 138 1991 1287 1296
    • (1991) Am. Nat. , vol.138 , pp. 1287-1296
    • Arditi, R.1    Ginzburg, L.R.2    Akcakaya, H.R.3
  • 4
    • 0027084787 scopus 로고
    • The physiological basis of ratio-dependent predatorprey theory: A metabolic pool model of Nicholson's blowflies as an example
    • A.P. Gutierrez The physiological basis of ratio-dependent predatorprey theory: a metabolic pool model of Nicholson's blowflies as an example Ecology 73 1992 1552 1563
    • (1992) Ecology , vol.73 , pp. 1552-1563
    • Gutierrez, A.P.1
  • 5
    • 0025946035 scopus 로고
    • Functional response and heterogeneities: An experiment test with cladocerans
    • R. Arditi, N. Perrin, and H. Saiah Functional response and heterogeneities: an experiment test with cladocerans OIKOS 60 1991 69 75
    • (1991) OIKOS , vol.60 , pp. 69-75
    • Arditi, R.1    Perrin, N.2    Saiah, H.3
  • 6
    • 0027100815 scopus 로고
    • Empirical evidence of the role of heterogeneity in ratio-dependent consumption
    • R. Arditi, and H. Saiah Empirical evidence of the role of heterogeneity in ratio-dependent consumption Ecology 73 1992 1544 1551
    • (1992) Ecology , vol.73 , pp. 1544-1551
    • Arditi, R.1    Saiah, H.2
  • 7
    • 0001397558 scopus 로고
    • The functional response of predator: Worries about scale
    • I. Hanski The functional response of predator: worries about scale TREE 6 1991 141 142
    • (1991) Tree , vol.6 , pp. 141-142
    • Hanski, I.1
  • 8
    • 0032058512 scopus 로고    scopus 로고
    • Global analysis in some delayed ratio-dependent predatorprey systems
    • E. Beretta, and Y. Kuang Global analysis in some delayed ratio-dependent predatorprey systems Nonlinear Anal. 32 1998 381 408
    • (1998) Nonlinear Anal. , vol.32 , pp. 381-408
    • Beretta, E.1    Kuang, Y.2
  • 9
    • 0035460669 scopus 로고    scopus 로고
    • Parametric analysis of the ratio-dependent predatorprey model
    • F. Berezovskaya, G. Karev, and R. Arditi Parametric analysis of the ratio-dependent predatorprey model J. Math. Biol. 43 2001 221 246
    • (2001) J. Math. Biol. , vol.43 , pp. 221-246
    • Berezovskaya, F.1    Karev, G.2    Arditi, R.3
  • 10
    • 0042793280 scopus 로고    scopus 로고
    • Periodicity in a delayed ratio-dependent predatorprey system
    • M. Fan, and K. Wang Periodicity in a delayed ratio-dependent predatorprey system J. Math. Anal. Appl. 262 2001 179 190
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 179-190
    • Fan, M.1    Wang, K.2
  • 11
    • 0035376255 scopus 로고    scopus 로고
    • Global analysis of the MichaelisMenten ratio-dependent predatorprey system
    • S.B. Hsu, T.W. Hwang, and Y. Kuang Global analysis of the MichaelisMenten ratio-dependent predatorprey system J. Math. Biol. 42 2001 489 506
    • (2001) J. Math. Biol. , vol.42 , pp. 489-506
    • Hsu, S.B.1    Hwang, T.W.2    Kuang, Y.3
  • 12
    • 0035512366 scopus 로고    scopus 로고
    • Rich dynamics of a ratio-dependent one prey two predator model
    • S.B. Hsu, T.W. Hwang, and Y. Kuang Rich dynamics of a ratio-dependent one prey two predator model J. Math. Biol. 43 2001 377 396
    • (2001) J. Math. Biol. , vol.43 , pp. 377-396
    • Hsu, S.B.1    Hwang, T.W.2    Kuang, Y.3
  • 13
    • 0000252357 scopus 로고    scopus 로고
    • Global qualitative analysis of a ratio-dependent predatorprey system
    • Y. Kuang, and E. Beretta Global qualitative analysis of a ratio-dependent predatorprey system J. Math. Biol. 36 1998 389 406
    • (1998) J. Math. Biol. , vol.36 , pp. 389-406
    • Kuang, Y.1    Beretta, E.2
  • 14
    • 0034249333 scopus 로고    scopus 로고
    • Persistence and stability for a two-species ratio-dependent predatorprey system with time delay in a two-patch environment
    • R. Xu, and L. Chen Persistence and stability for a two-species ratio-dependent predatorprey system with time delay in a two-patch environment Comput. Math. Appl. 40 2000 577 588
    • (2000) Comput. Math. Appl. , vol.40 , pp. 577-588
    • Xu, R.1    Chen, L.2
  • 15
    • 0036868468 scopus 로고    scopus 로고
    • Persistence and global stability for n-species ratio-dependent predator - Prey system with time delays
    • DOI 10.1016/S0022-247X(02)00212-3, PII S0022247X02002123
    • R. Xu, and L. Chen Persistence and global stability for n-species ratio-dependent predatorprey system with time delays J. Math. Anal. Appl. 275 2002 27 43 (Pubitemid 36046783)
    • (2002) Journal of Mathematical Analysis and Applications , vol.275 , Issue.1 , pp. 27-43
    • Xu, R.1    Chen, L.2
  • 16
    • 0347600676 scopus 로고    scopus 로고
    • Numerical simulation of stochastic ordinary differential equations in biomathematical modelling
    • M. Carletti, K. Burrage, and P.M. Burrage Numerical simulation of stochastic ordinary differential equations in biomathematical modelling Math. Comput. Simulation 64 2004 271 277
    • (2004) Math. Comput. Simulation , vol.64 , pp. 271-277
    • Carletti, M.1    Burrage, K.2    Burrage, P.M.3
  • 18
    • 19944404654 scopus 로고    scopus 로고
    • On the effects of environmental fluctuations in a simple model of bacteriabacteriophage interaction
    • E. Beretta, M. Carletti, and F. Solimano On the effects of environmental fluctuations in a simple model of bacteriabacteriophage interaction Can. Appl. Math. Q. 8 2000 321 366
    • (2000) Can. Appl. Math. Q. , vol.8 , pp. 321-366
    • Beretta, E.1    Carletti, M.2    Solimano, F.3
  • 19
    • 33845457993 scopus 로고    scopus 로고
    • Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection
    • M. Carletti Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection Math. Med. Biol. 23 2006 297 310
    • (2006) Math. Med. Biol. , vol.23 , pp. 297-310
    • Carletti, M.1
  • 20
    • 0242563961 scopus 로고    scopus 로고
    • Environmental Brownian noise suppresses explosions in population dynamics
    • X. Mao, G. Marion, and E. Renshaw Environmental Brownian noise suppresses explosions in population dynamics Stochastic Process. Appl. 97 2002 95 110
    • (2002) Stochastic Process. Appl. , vol.97 , pp. 95-110
    • Mao, X.1    Marion, G.2    Renshaw, E.3
  • 21
    • 14844315022 scopus 로고    scopus 로고
    • Ratio-dependent predatorprey model: Effect of environmental fluctuation and stability
    • M. Bandyopadhyay, and J. Chattopadhyay Ratio-dependent predatorprey model: effect of environmental fluctuation and stability Nonlinearity 18 2005 913 936
    • (2005) Nonlinearity , vol.18 , pp. 913-936
    • Bandyopadhyay, M.1    Chattopadhyay, J.2
  • 22
    • 38049022510 scopus 로고    scopus 로고
    • Dynamical analysis of a delayed ratio-dependent preypredator model within fluctuating environment
    • S. Tapan, and B. Malay Dynamical analysis of a delayed ratio-dependent preypredator model within fluctuating environment Appl. Math. Comput. 196 2008 458 478
    • (2008) Appl. Math. Comput. , vol.196 , pp. 458-478
    • Tapan, S.1    Malay, B.2
  • 23
    • 0038488085 scopus 로고    scopus 로고
    • Effects of environmental fluctuation on plankton allelopathy
    • P.K. Tapaswi, and A. Mukhopadhyay Effects of environmental fluctuation on plankton allelopathy J. Math. Biol. 39 1999 39 58
    • (1999) J. Math. Biol. , vol.39 , pp. 39-58
    • Tapaswi, P.K.1    Mukhopadhyay, A.2
  • 28
    • 37449001667 scopus 로고    scopus 로고
    • Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
    • D. Jiang, N. Shi, and X. Li Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation J. Math. Anal. Appl. 340 2008 588 597
    • (2008) J. Math. Anal. Appl. , vol.340 , pp. 588-597
    • Jiang, D.1    Shi, N.2    Li, X.3
  • 30
    • 0141799906 scopus 로고    scopus 로고
    • Long-time behaviour of a stochastic preypredator model
    • R. Ryszard Long-time behaviour of a stochastic preypredator model Stochastic Process. Appl. 108 2003 93 107
    • (2003) Stochastic Process. Appl. , vol.108 , pp. 93-107
    • Ryszard, R.1
  • 31
    • 0035439412 scopus 로고    scopus 로고
    • An algorithmic introduction to numerical simulation of stochastic differential equations
    • D.J. Higham An algorithmic introduction to numerical simulation of stochastic differential equations SIAM Rev. 43 2001 525 546
    • (2001) SIAM Rev. , vol.43 , pp. 525-546
    • Higham, D.J.1
  • 32
    • 33847295610 scopus 로고    scopus 로고
    • Influence of stochastic perturbation on preypredator systems
    • R. Ryszard, and P. Katarzyna Influence of stochastic perturbation on preypredator systems Math. Biosci. 206 2007 108 119
    • (2007) Math. Biosci. , vol.206 , pp. 108-119
    • Ryszard, R.1    Katarzyna, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.