메뉴 건너뛰기




Volumn 29, Issue 5, 2008, Pages 653-663

Permanence and global attractivity of stage-structured predator-prey model with continuous harvesting on predator and impulsive stocking on prey

Author keywords

Continuous harvesting; Global attractivity; Impulsive stocking; Permanence; Stage structured

Indexed keywords

COMPUTER NETWORKS; DYNAMICAL SYSTEMS; HARVESTING; INFORMATION MANAGEMENT; KNOWLEDGE MANAGEMENT; NATURAL RESOURCES MANAGEMENT; NUMERICAL ANALYSIS; NUMERICAL METHODS; POPULATION STATISTICS; RESOURCE ALLOCATION; STAGES;

EID: 45749111767     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-008-0509-x     Document Type: Article
Times cited : (44)

References (19)
  • 1
    • 33645079919 scopus 로고    scopus 로고
    • Periodic boundary value problems for non-Lipschitzian impulsive functional differential equations[J]
    • 8
    • Nieto J J, Rodriguez-Lopez R. Periodic boundary value problems for non-Lipschitzian impulsive functional differential equations[J]. J Math Anal Appl, 2006, 31(8):593-610.
    • (2006) J Math Anal Appl , vol.31 , pp. 593-610
    • Nieto, J.J.1    Rodriguez-Lopez, R.2
  • 2
    • 31544439401 scopus 로고    scopus 로고
    • Oscillation and global attractivity of impulsive periodic delay respiratory dynamiscs model[J]
    • 4
    • Saker S H. Oscillation and global attractivity of impulsive periodic delay respiratory dynamiscs model[J]. Chinese Ann Math Ser B, 2005, 26(4):511-522.
    • (2005) Chinese Ann Math ser B , vol.26 , pp. 511-522
    • Saker, S.H.1
  • 3
    • 23144445934 scopus 로고    scopus 로고
    • A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences[J]
    • 8
    • d'Onofrio A. A general framework for modeling tumor-immune system competition and immunotherapy: mathematical analysis and biomedical inferences[J]. Physica D: Nonlinear Phenomena, 2005, 20(8):220-235.
    • (2005) Physica D: Nonlinear Phenomena , vol.20 , pp. 220-235
    • D'Onofrio, A.1
  • 4
    • 33847738909 scopus 로고    scopus 로고
    • Pulse vaccination strategy in a delayed SIR epidemic model with vertical transmission[J]
    • 1
    • Gao Shujing, Chen Lansun. Pulse vaccination strategy in a delayed SIR epidemic model with vertical transmission[J]. Discrete and Continuous Dynamical Systems SERIES B, 2007, 7(1):77-86.
    • (2007) Discrete and Continuous Dynamical Systems SERIES B , vol.7 , pp. 77-86
    • Gao, S.1    Chen, Lansun.2
  • 6
    • 34249110754 scopus 로고    scopus 로고
    • A stage-structured Holling mass defence predator-prey 3 model with impulsive perturbations on predators[J]
    • 2
    • Jiao Jianjun, Meng Xinzhu, Chen Lansun. A stage-structured Holling mass defence predator-prey 3 model with impulsive perturbations on predators[J]. Applied Mathematics and Computation, 2007, 189(2):1448-1458.
    • (2007) Applied Mathematics and Computation , vol.189 , pp. 1448-1458
    • Jiao, J.1    Meng, X.2    Chen, Lansun.3
  • 7
    • 33847069939 scopus 로고    scopus 로고
    • Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect[J]
    • 2
    • Song Xinyu, Li Yongfeng. Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect[J]. Chaos, Solitons and Fractals, 2007, 33(2):463-478.
    • (2007) Chaos, Solitons and Fractals , vol.33 , pp. 463-478
    • Song, X.1    Li, Yongfeng.2
  • 8
    • 0025132577 scopus 로고
    • A time-delay model of single-species growth with stage-structured[J]
    • 2
    • Aiello W G, Freedman H I. A time-delay model of single-species growth with stage-structured[J]. Math Biosci, 1990, 101(2):139.
    • (1990) Math Biosci , vol.101 , pp. 139
    • Aiello, W.G.1    Freedman, H.I.2
  • 9
    • 0022842682 scopus 로고
    • Global stability in time-delayed single species dynamics[J]
    • 5/6
    • Freedman H I, Gopalsamy K. Global stability in time-delayed single species dynamics[J]. Bull Math Biol, 1986, 48(5/6):485-492.
    • (1986) Bull Math Biol , vol.48 , pp. 485-492
    • Freedman, H.I.1    Gopalsamy, K.2
  • 10
    • 0032058512 scopus 로고    scopus 로고
    • Global analysis in some delayed ratio-dependent predator-prey system[J]
    • 3
    • Beretta E, Kuang Y. Global analysis in some delayed ratio-dependent predator-prey system[J]. Nonlinear Anal, 1998, 32(3):381-408.
    • (1998) Nonlinear Anal , vol.32 , pp. 381-408
    • Beretta, E.1    Kuang, Y.2
  • 12
    • 0031124171 scopus 로고    scopus 로고
    • A predator-prey system with stage structure for predator[J]
    • 8
    • Wang Wendi, Chen Lansun. A predator-prey system with stage structure for predator[J]. Comput Math Appl, 1997, 33(8):83-91.
    • (1997) Comput Math Appl , vol.33 , pp. 83-91
    • Wang, W.1    Chen, Lansun.2
  • 13
    • 36749104235 scopus 로고    scopus 로고
    • A delayed stage-structured predator - Prey model with impulsive stocking on prey and continuous harvesting on predator[J]
    • 1
    • Jiao Jianjun, Pang Guoping, Chen Lansun, Luo Guilie. A delayed stage-structured predator - prey model with impulsive stocking on prey and continuous harvesting on predator[J]. Applied Mathematics and Computation, 2008, 195(1):316-325.
    • (2008) Applied Mathematics and Computation , vol.195 , pp. 316-325
    • Jiao, J.1    Pang, G.2    Chen, L.3    Luo, Guilie.4
  • 14
    • 21244502289 scopus 로고    scopus 로고
    • Optimal harvesting policy and stability for a single-species growth model with stage structure[J]
    • 2
    • Song Xinyu, Chen Lansun. Optimal harvesting policy and stability for a single-species growth model with stage structure[J]. Journal of System Sciences and Complex, 2002, 15(2):194-201.
    • (2002) Journal of System Sciences and Complex , vol.15 , pp. 194-201
    • Song, X.1    Chen, Lansun.2
  • 15
    • 32344445057 scopus 로고    scopus 로고
    • Extinction and permanence of the predator-prey system with stocking of prey and harvesting of predator impulsively[J]
    • 4
    • Dong Lingzhen, Chen Lansun, Sun Lihua. Extinction and permanence of the predator-prey system with stocking of prey and harvesting of predator impulsively[J]. Math Meth Appl Sci, 2006, 29 (4):415-425.
    • (2006) Math Meth Appl Sci , vol.29 , pp. 415-425
    • Dong, L.1    Chen, L.2    Sun, Lihua.3
  • 16
    • 0035888649 scopus 로고    scopus 로고
    • Permanence and stability of a stage-structured predatorprey model[J]
    • 2
    • Wang W, Mulone G, Salemi F, Salone V. Permanence and stability of a stage-structured predatorprey model[J]. J Math Anal Appl, 2001, 262(2):499-528.
    • (2001) J Math Anal Appl , vol.262 , pp. 499-528
    • Wang, W.1    Mulone, G.2    Salemi, F.3    Salone, V.4
  • 19
    • 0024907926 scopus 로고
    • Global behavior of an SEIRS epidemic model with delays, the history of the vedalia beetle importation to California and its impact on the development of biological control[J]
    • Caltagirone L E, Doutt R L. Global behavior of an SEIRS epidemic model with delays, the history of the vedalia beetle importation to California and its impact on the development of biological control[J]. Ann Rev Entomol, 1989, 34:1-16.
    • (1989) Ann Rev Entomol , vol.34 , pp. 1-16
    • Caltagirone, L.E.1    Doutt, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.