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Volumn 27, Issue 1, 2006, Pages 237-248

A study of predator-prey models with the Beddington-DeAnglis functional response and impulsive effect

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DYNAMICS; LYAPUNOV METHODS; MATHEMATICAL MODELS; OSCILLATIONS; PARAMETER ESTIMATION;

EID: 22344452897     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.03.039     Document Type: Article
Times cited : (32)

References (26)
  • 1
    • 0000076167 scopus 로고
    • Mutual interference between parasites or predators and its effect on searching efficiency
    • J.R. Beddington Mutual interference between parasites or predators and its effect on searching efficiency J Animal Ecol 44 1975 331 340
    • (1975) J Animal Ecol , vol.44 , pp. 331-340
    • Beddington, J.R.1
  • 3
    • 0038750243 scopus 로고    scopus 로고
    • On the dynamics of predatory-prey models with the Beddington-DeAngelis function response
    • R.S. Cantrel, and C. Cosner On the dynamics of predatory-prey models with the Beddington-DeAngelis function response J Meth Anal Appl 257 2001 206 222
    • (2001) J Meth Anal Appl , vol.257 , pp. 206-222
    • Cantrel, R.S.1    Cosner, C.2
  • 6
    • 0035108340 scopus 로고    scopus 로고
    • A two-component model of host-parasitoid interactions: Determinations of the size of inundative releases of parasitoid in biological pest control
    • J. Grasman, and O.A. Van Herwaarden A two-component model of host-parasitoid interactions: determinations of the size of inundative releases of parasitoid in biological pest control Math Biosci Appl 169 2001 207 216
    • (2001) Math Biosci Appl , vol.169 , pp. 207-216
    • Grasman, J.1    Van Herwaarden, O.A.2
  • 7
    • 0002986807 scopus 로고    scopus 로고
    • Measures of success in biological control of anthropoids by augmentation of natural
    • S. Eratten G. Gurr Kluwer Academic Publishers Dordrecht
    • J.C. Van Lenteren Measures of success in biological control of anthropoids by augmentation of natural S. Eratten G. Gurr Measures of success in biological control 2000 Kluwer Academic Publishers Dordrecht 77 89
    • (2000) Measures of Success in Biological Control , pp. 77-89
    • Van Lenteren, J.C.1
  • 8
    • 0000157811 scopus 로고
    • Biological and integrated pest control in greenhouses
    • J.C. Van Lenteren, and J. Woets Biological and integrated pest control in greenhouses Ann Rev Ent 33 1988 239 250
    • (1988) Ann Rev Ent , vol.33 , pp. 239-250
    • Van Lenteren, J.C.1    Woets, J.2
  • 10
    • 0002462845 scopus 로고
    • Integrated pest management in protected crops
    • D. Dent Chapman and Hall London
    • J.C. VanLenteren Integrated pest management in protected crops D. Dent Integrated pest management 1995 Chapman and Hall London 311 320
    • (1995) Integrated Pest Management , pp. 311-320
    • Vanlenteren, 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 19 1998 23 36
    • (1998) Math Biosci , vol.19 , 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
    • 0027136227 scopus 로고
    • Pulse mass measles vaccination across age cohorts
    • Z.C. Agur, R.L. Anderson, and Y. Danon Pulse mass measles vaccination across age cohorts Proc Natl Acad Sci USA 90 1993 11698 11702
    • (1993) Proc Natl Acad Sci USA , vol.90 , pp. 11698-11702
    • Agur, Z.C.1    Anderson, R.L.2    Danon, Y.3
  • 16
    • 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
  • 17
    • 0347269498 scopus 로고    scopus 로고
    • Bifurcation of nontrivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment
    • A. Lakmeche, and O. Arino Bifurcation of nontrivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment Dynam Continuous Discrete Impuls Syst 7 2000 165 287
    • (2000) Dynam Continuous Discrete Impuls Syst , vol.7 , pp. 165-287
    • Lakmeche, A.1    Arino, O.2
  • 18
    • 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
    • 0016394337 scopus 로고
    • Biological population with nonoverlapping generations: Stable points, stable cycles, and chaos
    • R.M. May Biological population with nonoverlapping generations: stable points, stable cycles, and chaos Science 186 1974 645 657
    • (1974) Science , vol.186 , pp. 645-657
    • May, R.M.1
  • 21
    • 0000336301 scopus 로고
    • Bifurcations and dynamic complexity in simple ecological models
    • R.M. May, and G.F. Oster Bifurcations and dynamic complexity in simple ecological models Am Nature 110 1976 573 599
    • (1976) Am Nature , vol.110 , pp. 573-599
    • May, R.M.1    Oster, G.F.2
  • 23
    • 0034252135 scopus 로고    scopus 로고
    • Density-dependent vital rates and their population dynamic consequences
    • M.G. Neubert, and H. Caswell Density-dependent vital rates and their population dynamic consequences J Math Biol 41 1999 103 121
    • (1999) J Math Biol , vol.41 , pp. 103-121
    • Neubert, M.G.1    Caswell, H.2
  • 24
    • 0037208504 scopus 로고    scopus 로고
    • Chaos in seasonally perturbed ratio-dependent prey-predator system
    • S. Gakkhar, and R.K. Naji Chaos in seasonally perturbed ratio-dependent prey-predator system Chaos, Solitons & Fractals 15 2003 107 118
    • (2003) Chaos, Solitons & Fractals , vol.15 , pp. 107-118
    • Gakkhar, S.1    Naji, R.K.2
  • 25
    • 0035751986 scopus 로고    scopus 로고
    • From chaos to chaos. An analysis of a discrete age-structured prey-predator model
    • A. Wikan From chaos to chaos. An analysis of a discrete age-structured prey-predator model J Math Biol 43 2001 471 500
    • (2001) J Math Biol , vol.43 , pp. 471-500
    • Wikan, A.1
  • 26
    • 0038239680 scopus 로고    scopus 로고
    • Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems
    • A. Venkatesan, S. Parthasarthy, and M. Lakshmanan Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems Chaos, Solitons & Fractals 18 2003 891 898
    • (2003) Chaos, Solitons & Fractals , vol.18 , pp. 891-898
    • Venkatesan, A.1    Parthasarthy, S.2    Lakshmanan, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.