메뉴 건너뛰기




Volumn 15, Issue 11-12, 2009, Pages 1031-1053

Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking

Author keywords

Coexistence; Competitive exclusion; Extinction; Harvesting; Leslie Gower model; Stocking

Indexed keywords


EID: 70449657212     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190802459861     Document Type: Article
Times cited : (29)

References (40)
  • 4
    • 34247396077 scopus 로고    scopus 로고
    • Periodicities on discrete dynamical systems generated by a class of rational mappings
    • I. Bajo and E. Liz, Periodicities on discrete dynamical systems generated by a class of rational mappings, J. Difference Equ. Appl. 12 (2006), pp. 1201-1212.
    • (2006) J. Difference Equ. Appl. , vol.12 , pp. 1201-1212
    • Bajo, I.1    Liz, E.2
  • 5
    • 3142726130 scopus 로고    scopus 로고
    • On impulsive Beverton-Holt difference equations and their applications
    • L. Berezansky and E. Braveman, On impulsive Beverton-Holt difference equations and their applications, J. Difference Equ. Appl. 10 (2004), pp. 851-868.
    • (2004) J. Difference Equ. Appl. , vol.10 , pp. 851-868
    • Berezansky, L.1    Braveman, E.2
  • 7
    • 0019511609 scopus 로고
    • Optimal fishery policy for size specific density dependent population models
    • L.W. Botsford, Optimal fishery policy for size specific density dependent population models, J. Math. Biol. 12 (1981), pp. 265-293.
    • (1981) J. Math. Biol. , vol.12 , pp. 265-293
    • Botsford, L.W.1
  • 8
    • 0033390422 scopus 로고    scopus 로고
    • Seasonal compensation of predation and harvesting
    • M.S. Boyce, A.R.E. Sinclair, and G.C. White, Seasonal compensation of predation and harvesting, Oikos 87 (1999), pp. 419-426.
    • (1999) Oikos , vol.87 , pp. 419-426
    • Boyce, M.S.1    Sinclair, A.R.E.2    White, G.C.3
  • 9
    • 0016943753 scopus 로고
    • Stabilization and destabilization of predator-prey systems under harvesting and nutrient enrichment
    • F. Brauer, A.C. Soudack, and H.S. Jarosch, Stabilization and destabilization of predator-prey systems under harvesting and nutrient enrichment, Int. J. Control 23 (1976), pp. 553-573.
    • (1976) Int. J. Control. , vol.23 , pp. 553-573
    • Brauer, F.1    Soudack, A.C.2    Jarosch, H.S.3
  • 10
    • 0018318922 scopus 로고
    • Stability regions and transition phenomenoa for harvested predator- prey systems
    • F. Brauer and A.C. Soudack, Stability regions and transition phenomenoa for harvested predator- prey systems, J. Math. Biol. 7 (1979), pp. 319-337.
    • (1979) J. Math. Biol. , vol.7 , pp. 319-337
    • Brauer, F.1    Soudack, A.C.2
  • 11
    • 0018572296 scopus 로고
    • Stability regions in predator-prey systems with constant-rate prey harvesting
    • F. Brauer and A.C. Soudack, Stability regions in predator-prey systems with constant-rate prey harvesting, J. Math. Biol. 8 (1979), pp. 55-71.
    • (1979) J. Math. Biol. , vol.8 , pp. 55-71
    • Brauer, F.1    Soudack, A.C.2
  • 12
    • 0019366395 scopus 로고
    • Constant-rate stocking of predator-prey systems
    • F. Brauer and A.C. Soudack, Constant-rate stocking of predator-prey systems, J. Math. Biol. 11 (1981), pp. 1-14.
    • (1981) J. Math. Biol. , vol.11 , pp. 1-14
    • Brauer, F.1    Soudack, A.C.2
  • 13
    • 0019862153 scopus 로고
    • Coexistence properties of some predator-prey systems under constant rate harvesting and stocking
    • F. Brauer and A.C. Soudack, Coexistence properties of some predator-prey systems under constant rate harvesting and stocking, J. Math. Biol. 12 (1981), pp. 101-114.
    • (1981) J. Math. Biol. , vol.12 , pp. 101-114
    • Brauer, F.1    Soudack, A.C.2
  • 15
    • 0342680045 scopus 로고    scopus 로고
    • Destabilizing effect of periodic harvest on population dynamics
    • N.P. Chau, Destabilizing effect of periodic harvest on population dynamics, Ecol. Model. 127 (2000), pp. 1-9.
    • (2000) Ecol. Model. , vol.127 , pp. 1-9
    • Chau, N.P.1
  • 16
    • 0036498930 scopus 로고    scopus 로고
    • A coupled system of rational difference equations
    • D. Clark and M.R.S. Kulenovic, A coupled system of rational difference equations, Comput. Math. Appl. 43 (2002), pp. 849-867.
    • (2002) Comput. Math. Appl. , vol.43 , pp. 849-867
    • Clark, D.1    Kulenovic, M.R.S.2
  • 17
    • 84966230219 scopus 로고
    • Ergodic theorem in demography
    • J.E. Cohen, Ergodic theorem in demography, Bull. Amer. Math. Soc. 1 (1979), pp. 275-295.
    • (1979) Bull. Amer. Math. Soc. , vol.1 , pp. 275-295
    • Cohen, J.E.1
  • 18
    • 8744244403 scopus 로고    scopus 로고
    • Some discrete competition models and the competitive exclusion principle
    • J. Cushing, S. Levarge, N. Chitnis, and S.M. Henson, Some discrete competition models and the competitive exclusion principle, J. Difference Equ. Appl. 10 (2004), pp. 1139-1151.
    • (2004) J. Difference Equ. Appl. , vol.10 , pp. 1139-1151
    • Cushing, J.1    Levarge, S.2    Chitnis, N.3    Henson, S.M.4
  • 20
  • 22
    • 33845305769 scopus 로고    scopus 로고
    • Harvesting induced fluctuations: Insights from a threshold management policy
    • M. Iskin and S. Costa, Harvesting induced fluctuations: Insights from a threshold management policy, Math. Biosci. 205 (2007), pp. 77-82.
    • (2007) Math. Biosci. , vol.205 , pp. 77-82
    • Iskin, M.1    Costa, S.2
  • 23
    • 0033026188 scopus 로고    scopus 로고
    • Temporally structured density dependence and population management
    • N. Jonzen and P. Lundberg, Temporally structured density dependence and population management, Ann. Zool. Fenn. 36 (1999), pp. 39-44.
    • (1999) Ann. Zool. Fenn. , vol.36 , pp. 39-44
    • Jonzen, N.1    Lundberg, P.2
  • 27
    • 0042178203 scopus 로고
    • The properties of a stochastic model for two competing species
    • P.H. Leslie and J.C. Gower, The properties of a stochastic model for two competing species, Biometrika 45 (1958), pp. 316-330.
    • (1958) Biometrika , vol.45 , pp. 316-330
    • Leslie, P.H.1    Gower, J.C.2
  • 28
    • 34147095873 scopus 로고    scopus 로고
    • Impulsive harvesting and stocking in a Monod-Haldane functional response predator-prey system
    • Z. Liu and R. Tan, Impulsive harvesting and stocking in a Monod-Haldane functional response predator-prey system, Chaos Solitons Fractals 34 (2007), pp. 454-464.
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 454-464
    • Liu, Z.1    Tan, R.2
  • 29
    • 0001400613 scopus 로고
    • Experimental studies of interspecies competition. I, Competition between the flower beetles Tribolium castaneum Herbst
    • T. Park, Experimental studies of interspecies competition. I, Competition between the flower beetles Tribolium castaneum Herbst, Ecol. Monogr. 18 (1948), pp. 265-308.
    • (1948) Ecol. Monogr. , vol.18 , pp. 265-308
    • Park, T.1
  • 30
    • 0001341654 scopus 로고
    • Experimental studies of interspecies competition. II, Temperature, humidity and competetion in two species of Tribolium
    • T. Park, Experimental studies of interspecies competition. II, Temperature, humidity and competetion in two species of Tribolium, Physiol. Zool. 27 (1954), pp. 177-238.
    • (1954) Physiol. Zool. , vol.27 , pp. 177-238
    • Park, T.1
  • 31
    • 0010755658 scopus 로고
    • Experimental studies of interspecies competition. III, Relation of initial species proportion to the competitive outcome in populations of Tribolium
    • T. Park, Experimental studies of interspecies competition. III, Relation of initial species proportion to the competitive outcome in populations of Tribolium, Physiol. Zool. 30 (1957), pp. 22-40.
    • (1957) Physiol. Zool. , vol.30 , pp. 22-40
    • Park, T.1
  • 32
    • 0002800869 scopus 로고
    • Genetic strains and competition in populations of Tribolium
    • T. Park, P.H. Leslie, and D.B. Mertz, Genetic strains and competition in populations of Tribolium, Physiol. Zool. 37 (1964), pp. 97-162.
    • (1964) Physiol. Zool. , vol.37 , pp. 97-162
    • Park, T.1    Leslie, P.H.2    Mertz, D.B.3
  • 33
    • 0035724731 scopus 로고    scopus 로고
    • Restoration of Lake Trout in Parry Sound, Lake Huron
    • D. Reid, D.M. Anderson, and B.A. Henderson, Restoration of Lake Trout in Parry Sound, Lake Huron, N. Am. J. Fish. Manag. 21 (2001), pp. 156-169.
    • (2001) N. Am. J. Fish. Manag. , vol.21 , pp. 156-169
    • Reid, D.1    Anderson, D.M.2    Henderson, B.A.3
  • 34
    • 23844460629 scopus 로고    scopus 로고
    • Hopf bifurcations in discrete May-Leonard competition models
    • L.W. Roeger, Hopf bifurcations in discrete May-Leonard competition models, Can. Appl. Math. Q. 11 (2003), pp. 175-193.
    • (2003) Can. Appl. Math. Q. , vol.11 , pp. 175-193
    • Roeger, L.W.1
  • 35
    • 17844381673 scopus 로고    scopus 로고
    • Reveresing period-doubling in models of population interactions using constant stocking and harvesting
    • J.F. Selgrade and H. Roberds, Reveresing period-doubling in models of population interactions using constant stocking and harvesting, Can. Appl. Math. Q. 6 (1998), pp. 207-231.
    • (1998) Can. Appl. Math. Q. , vol.6 , pp. 207-231
    • Selgrade, J.F.1    Roberds, H.2
  • 37
    • 33750051672 scopus 로고    scopus 로고
    • Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations
    • S. Tang, R.A. Cheke, and Y. Xiao, Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations, Nonlinear Anal. 65 (2006), pp. 2311-2341.
    • (2006) Nonlinear Anal. , vol.65 , pp. 2311-2341
    • Tang, S.1    Cheke, R.A.2    Xiao, Y.3
  • 38
    • 21244466047 scopus 로고    scopus 로고
    • Harvesting in seasonal environmemnts
    • C. Xu, M.S. Boyce, and D.J. Daley, Harvesting in seasonal environmemnts, J. Math. Biol. 50 (2005), pp. 663-682.
    • (2005) J. Math. Biol. , vol.50 , pp. 663-682
    • Xu, C.1    Boyce, M.S.2    Daley, D.J.3
  • 39
    • 0028985509 scopus 로고
    • The effect of planting and harvesting on endangered species in discrete competitive systems
    • A. Yakubu, The effect of planting and harvesting on endangered species in discrete competitive systems, Math. Biosci. 126 (1994), pp. 1-20.
    • (1994) Math. Biosci. , vol.126 , pp. 1-20
    • Yakubu, A.1
  • 40
    • 0000357125 scopus 로고
    • Competition in tropical stream fishes: Support for the competitive exclusion principle
    • T.M. Zaret and A.S. Rand, Competition in tropical stream fishes: Support for the competitive exclusion principle, Ecology 52 (1971), pp. 336-342.
    • (1971) Ecology , vol.52 , pp. 336-342
    • Zaret, T.M.1    Rand, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.