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Volumn 28, Issue 2, 2006, Pages 367-376

Chaos in periodically forced Holling type II predator-prey system with impulsive perturbations

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; FRACTALS; OSCILLATIONS; PERTURBATION TECHNIQUES; SOLITONS;

EID: 27144526577     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.05.037     Document Type: Article
Times cited : (32)

References (22)
  • 1
    • 0002366911 scopus 로고
    • The functional response of predator to prey density and its role in mimicry and population regulation
    • C.S. Holling The functional response of predator to prey density and its role in mimicry and population regulation Mem Ent Sec Can 45 1965 1 60
    • (1965) Mem Ent Sec Can , vol.45 , pp. 1-60
    • Holling, C.S.1
  • 2
    • 0037732498 scopus 로고    scopus 로고
    • Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator
    • S.Y. Tang, and L.S. Chen Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator Int J Bifurcat Chaos 13 4 2003 973 980
    • (2003) Int J Bifurcat Chaos , vol.13 , Issue.4 , pp. 973-980
    • Tang, S.Y.1    Chen, L.S.2
  • 3
    • 0027338779 scopus 로고
    • Chaos in a periodic forced predator-prey ecosystem model
    • G.C.W. Sabin, and D. Summer Chaos in a periodic forced predator-prey ecosystem model Math Biosci 113 1993 91 113
    • (1993) Math Biosci , vol.113 , pp. 91-113
    • Sabin, G.C.W.1    Summer, D.2
  • 4
    • 2942676278 scopus 로고
    • Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities
    • S. Rinaldi, S. Muratori, and Yu.A. Kuznetsov Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities Bull Math Biol 55 1993 15 35
    • (1993) Bull Math Biol , vol.55 , pp. 15-35
    • Rinaldi, S.1    Muratori, S.2    Kuznetsov, Yu.A.3
  • 5
    • 0038577050 scopus 로고    scopus 로고
    • Seasonally perturbed prey-predator system with predator-dependent functional response
    • S. Gakkhar, and R.K. Naji Seasonally perturbed prey-predator system with predator-dependent functional response Chaos, Solitons & Fractals 18 2003 1075 1083
    • (2003) Chaos, Solitons & Fractals , vol.18 , pp. 1075-1083
    • Gakkhar, S.1    Naji, R.K.2
  • 6
    • 0038279127 scopus 로고
    • Periodic time-dependent predator-prey systems
    • J.M. Cushing Periodic time-dependent predator-prey systems SIAM J Appl Math 10 1977 384 400
    • (1977) SIAM J Appl Math , vol.10 , pp. 384-400
    • Cushing, J.M.1
  • 7
    • 0001500276 scopus 로고
    • Periodic Kolmogorov systems
    • J.M. Cushing Periodic Kolmogorov systems SIAM J Math Anal 13 1987 811 827
    • (1987) SIAM J Math Anal , vol.13 , pp. 811-827
    • Cushing, J.M.1
  • 8
    • 0019794241 scopus 로고
    • Predator-prey models in periodically fluctuating environments
    • M. Bardi Predator-prey models in periodically fluctuating environments J Math Biol 12 1981 127 140
    • (1981) J Math Biol , vol.12 , pp. 127-140
    • Bardi, M.1
  • 9
    • 0142179487 scopus 로고
    • Environmental manipulation advantageous to natural enemies of pests
    • V. Delucchi Parasitis Geneva
    • J.C. Van Lentern Environmental manipulation advantageous to natural enemies of pests V. Delucchi Integrate pest management 1987 Parasitis Geneva 123 166
    • (1987) Integrate Pest Management , pp. 123-166
    • Van Lentern, J.C.1
  • 10
    • 0002462845 scopus 로고
    • Integrate pest management in protected crops
    • D. Dent Chapman Hall London
    • J.C. Van lenteren Integrate pest management in protected crops D. Dent Integrate pest management 1995 Chapman Hall London 311 320
    • (1995) Integrate Pest Management , pp. 311-320
    • Van Lenteren, J.C.1
  • 11
    • 0031750774 scopus 로고    scopus 로고
    • The dynamics of an infectious disease in a population with birth pulses
    • M.G. Roberts, and R.R. Kao The dynamics of an infectious disease in a population with birth pulses Math Biosci 149 1998 23 36
    • (1998) Math Biosci , vol.149 , pp. 23-36
    • Roberts, M.G.1    Kao, R.R.2
  • 12
    • 0036483349 scopus 로고    scopus 로고
    • Density-dependent birth rate, birth pulse and their population dynamic consequences
    • S.Y. Tang, and L.S. Chen Density-dependent birth rate, birth pulse and their population dynamic consequences J Math Biol 44 2002 185 199
    • (2002) J Math Biol , vol.44 , pp. 185-199
    • Tang, S.Y.1    Chen, L.S.2
  • 13
    • 0032213158 scopus 로고    scopus 로고
    • Pulse vaccination strategy in the SIR epidemic model
    • B. Shulgin, L. Stone, and Z. Agur Pulse vaccination strategy in the SIR epidemic model Bull Math Biol 60 1998 1 26
    • (1998) Bull Math Biol , vol.60 , pp. 1-26
    • Shulgin, B.1    Stone, L.2    Agur, Z.3
  • 14
    • 4243137828 scopus 로고    scopus 로고
    • Stability properties of pulse vaccination strategy in SEIR epidemic model
    • A. D'Onofrio Stability properties of pulse vaccination strategy in SEIR epidemic model Math Comput Modell 26 1997 59 72
    • (1997) Math Comput Modell , vol.26 , pp. 59-72
    • D'Onofrio, A.1
  • 15
    • 0030140255 scopus 로고    scopus 로고
    • A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
    • J.C. Panetta A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competitive environment Bull Math Biol 58 1996 425 447
    • (1996) Bull Math Biol , vol.58 , pp. 425-447
    • Panetta, J.C.1
  • 16
    • 0347269498 scopus 로고    scopus 로고
    • Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment
    • A. Lakmeche, and O. Arino Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment Dyn Contin Discrete Impulsive Syst 7 2000 165 187
    • (2000) Dyn Contin Discrete Impulsive Syst , vol.7 , pp. 165-187
    • Lakmeche, A.1    Arino, O.2
  • 17
    • 0031468520 scopus 로고    scopus 로고
    • Permanence of population growth models with impulsive effects
    • G. Ballinger, and X. Liu Permanence of population growth models with impulsive effects Math Comput Modell 26 1997 59 72
    • (1997) Math Comput Modell , vol.26 , pp. 59-72
    • Ballinger, G.1    Liu, X.2
  • 20
    • 0011893594 scopus 로고
    • The existence and uniqueness of predator-prey differential equations
    • L.S. Chen, and Z. Jing The existence and uniqueness of predator-prey differential equations Chain Sci Bull 9 1984 521 530
    • (1984) Chain Sci Bull , vol.9 , pp. 521-530
    • Chen, L.S.1    Jing, Z.2
  • 21
    • 0037332898 scopus 로고    scopus 로고
    • Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
    • X.N. Liu, and L.S. Chen Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator Chaos, Solitons & Fractals 16 2003 311 320
    • (2003) Chaos, Solitons & Fractals , vol.16 , pp. 311-320
    • Liu, X.N.1    Chen, L.S.2
  • 22
    • 0036489550 scopus 로고    scopus 로고
    • Chaos in functional response host-parasitoid ecosystem models
    • S.Y. Tang, and L.S. Chen Chaos in functional response host-parasitoid ecosystem models Chaos, Solitons & Fractals 13 2002 875 884
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 875-884
    • Tang, S.Y.1    Chen, L.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.