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Volumn 9, Issue 3, 2006, Pages 209-222

Chaotic behavior of a periodically forced predator-prey system with beddington-deangelis functional response and impulsive perturbations

Author keywords

Bifurcation; Chaos; Complexity; Impulsive perturbation; Periodic forcing; Predator prey system

Indexed keywords


EID: 33845303123     PISSN: 02195259     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219525906000811     Document Type: Article
Times cited : (5)

References (27)
  • 1
    • 0002366911 scopus 로고
    • The functional response of predator to prey density and its role in mimicry and population regulation
    • Holling, G. S., The functional response of predator to prey density and its role in mimicry and population regulation, Mem. Ent. Sec. Can. 45, 1-60 (1965).
    • (1965) Mem. Ent. Sec. Can. , vol.45 , pp. 1-60
    • Holling, G.S.1
  • 2
    • 0000076167 scopus 로고
    • Mutual interference between parasites or predators and its effect on searching efficiency
    • Beddington, J. R., Mutual interference between parasites or predators and its effect on searching efficiency. J. Animal. Ecol. 44, 331-340 (1975).
    • (1975) J. Animal. Ecol. , vol.44 , pp. 331-340
    • Beddington, J.R.1
  • 4
    • 0033180314 scopus 로고    scopus 로고
    • Effects of spatial grouping on the functional response of predators
    • Cosner, C., DeAngelis, D. L., Ault, J. S. and Olson, D. B., Effects of spatial grouping on the functional response of predators, Theor. Pop. Biol. 56, 65-75 (1999).
    • (1999) Theor. Pop. Biol. , vol.56 , pp. 65-75
    • Cosner, C.1    Deangelis, D.L.2    Ault, J.S.3    Olson, D.B.4
  • 5
    • 0037732498 scopus 로고    scopus 로고
    • Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator
    • Tang, S. Y. and Chen, L. S., Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator, Int. J. Bifurcation Chaos 13(4), 973-980 (2003).
    • (2003) Int. J. Bifurcation Chaos , vol.13 , Issue.4 , pp. 973-980
    • Tang, S.Y.1    Chen, L.S.2
  • 6
    • 0027338779 scopus 로고
    • Chaos in a periodic forced predator-prey ecosystem model
    • Sabin, G. C. W and Summer, D., Chaos in a periodic forced predator-prey ecosystem model, Math. Biosci. 113, 91-113 (1993).
    • (1993) Math. Biosci. , vol.113 , pp. 91-113
    • Sabin, G.C.W.1    Summer, D.2
  • 7
    • 2942676278 scopus 로고
    • Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities
    • Rinaldi, S. Muratori, S. and Kuznetsov Yu. A., Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities, Bull. Math. Biol. 55, 15-35 (1993).
    • (1993) Bull. Math. Biol. , vol.55 , pp. 15-35
    • Rinaldi, S.1    Muratori, S.2    Kuznetsov, Yu.A.3
  • 8
    • 0038577050 scopus 로고    scopus 로고
    • Seasonally perturbed prey-predator system with predator-dependent functional response
    • Gakkhar, S. and Naji, R. K., Seasonally perturbed prey-predator system with predator-dependent functional response, Chaos Soliton. Fract. 18, 1075-1083 (2003).
    • (2003) Chaos Soliton. Fract. , vol.18 , pp. 1075-1083
    • Gakkhar, S.1    Naji, R.K.2
  • 9
    • 0038279127 scopus 로고
    • Periodic time-dependent predator-prey systems
    • Cushing, J. M., Periodic time-dependent predator-prey systems, SIAM J. Appl. Math. 10, 384-400 (1977).
    • (1977) SIAM J. Appl. Math. , vol.10 , pp. 384-400
    • Cushing, J.M.1
  • 10
    • 0001500276 scopus 로고
    • Periodic Kolmogorov systems
    • Cushing, J. M., Periodic Kolmogorov systems, SIAM J. Math. Anal. 13, 811-827 (1987).
    • (1987) SIAM J. Math. Anal. , vol.13 , pp. 811-827
    • Cushing, J.M.1
  • 11
    • 0019794241 scopus 로고
    • Predator-prey models in periodically fluctuating environment
    • Bardi, M., Predator-prey models in periodically fluctuating environment, J. Math. Biol. 12, 127-140 (1981).
    • (1981) J. Math. Biol. , vol.12 , pp. 127-140
    • Bardi, M.1
  • 12
    • 0142179487 scopus 로고
    • Environmental manipulation advantageous to natural enemies of pests
    • ed. Delucchi, V. (Parasitis, Geneva)
    • Van Lentern, J. C., Environmental manipulation advantageous to natural enemies of pests, in Integrated Pest Management, ed. Delucchi, V. (Parasitis, Geneva: 1987), pp. 123-166.
    • (1987) Integrated Pest Management , pp. 123-166
    • Van Lentern, J.C.1
  • 13
    • 0002462845 scopus 로고
    • Integrate pest management in protected crops
    • ed. Dent, D. (Chapman Hall, London)
    • Van lenteren, J. C., Integrate pest management in protected crops, in Integrated Pest Management, ed. Dent, D. (Chapman Hall, London, 1995), pp. 311-320.
    • (1995) Integrated Pest Management , pp. 311-320
    • Van Lenteren, J.C.1
  • 14
    • 0031750774 scopus 로고    scopus 로고
    • The dynamics of an infectious disease in a population with birth pulses
    • Roberts, M. G. and Kao, R. R., The dynamics of an infectious disease in a population with birth pulses, Math. Biosci. 149, 23-36 (1998).
    • (1998) Math. Biosci. , vol.149 , pp. 23-36
    • Roberts, M.G.1    Kao, R.R.2
  • 15
    • 0036483349 scopus 로고    scopus 로고
    • Density-dependent birth rate, birth pulse and their population dynamic consequences
    • Tang, S. Y. and Chen, L. S., Density-dependent birth rate, birth pulse and their population dynamic consequences, J. Math. Biol. 44, 185-199 (2002).
    • (2002) J. Math. Biol. , vol.44 , pp. 185-199
    • Tang, S.Y.1    Chen, L.S.2
  • 16
    • 0032213158 scopus 로고    scopus 로고
    • Pulse vaccination strategy in the SIR epidemic model
    • Shulgin, B., Stone, L. and Agur, Z., Pulse vaccination strategy in the SIR epidemic model, Bull. Math. Biol. 60, 1-26 (1998).
    • (1998) Bull. Math. Biol. , vol.60 , pp. 1-26
    • Shulgin, B.1    Stone, L.2    Agur, Z.3
  • 17
    • 4243137828 scopus 로고    scopus 로고
    • Stability properties of pulse vaccination strategy in SEIR epidemic model
    • D'Onofrio, A., Stability properties of pulse vaccination strategy in SEIR epidemic model, Math. Comput. Model 26, 59-72 (1997).
    • (1997) Math. Comput. Model , vol.26 , pp. 59-72
    • D'Onofrio, A.1
  • 18
    • 0030140255 scopus 로고    scopus 로고
    • A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
    • Panetta, J. C., A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment, Bull. Math. Biol. 58, 425-447 (1996).
    • (1996) Bull. Math. Biol. , vol.58 , pp. 425-447
    • Panetta, J.C.1
  • 19
    • 0347269498 scopus 로고    scopus 로고
    • Bifurcation of non-trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment
    • Lakmeche, A. and Arino, O., Bifurcation of non-trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment, Dynamics Cont. Discrete Impulsive Syst. 7, 165-187 (2000).
    • (2000) Dynamics Cont. Discrete Impulsive Syst. , vol.7 , pp. 165-187
    • Lakmeche, A.1    Arino, O.2
  • 20
    • 0031468520 scopus 로고    scopus 로고
    • Permanence of population growth models with impulsive effects
    • Ballinger, G. and Liu, X., Permanence of population growth models with impulsive effects, Math. Comput. Model. 26, 59-72 (1997).
    • (1997) Math. Comput. Model. , vol.26 , pp. 59-72
    • Ballinger, G.1    Liu, X.2
  • 23
    • 0038750243 scopus 로고    scopus 로고
    • On the dynamic of predator-prey models with the Beddington-DeAngelis functional response
    • Cantrell, R. S. and Cosner, C., On the dynamic of predator-prey models with the Beddington-DeAngelis functional response, J. Math. Anal. Appl. 257, 206-222 (2001).
    • (2001) J. Math. Anal. Appl. , vol.257 , pp. 206-222
    • Cantrell, R.S.1    Cosner, C.2
  • 24
    • 22344452897 scopus 로고    scopus 로고
    • A study of predator-prey models with Beddington-DeAngelis functional response and impulsive effect
    • Zhang, S. and Chen, L., A study of predator-prey models with Beddington-DeAngelis functional response and impulsive effect, Chaos Soliton. Fract. 27(1), 237-248 (2006).
    • (2006) Chaos Soliton. Fract. , vol.27 , Issue.1 , pp. 237-248
    • Zhang, S.1    Chen, L.2
  • 25
    • 0036489550 scopus 로고    scopus 로고
    • Chaos in functional response host-parasitoid ecosystem models
    • Tang, S. Y. and Chen, L. S., Chaos in functional response host-parasitoid ecosystem models, Chaos Soliton. Fract. 13, 875-884 (2002).
    • (2002) Chaos Soliton. Fract. , vol.13 , pp. 875-884
    • Tang, S.Y.1    Chen, L.S.2
  • 26
    • 27144526577 scopus 로고    scopus 로고
    • Chaos in periodically forced Rolling type II predator-prey system with impulsive perturbations
    • Zhang, S., Tan, D. and Chen, L., Chaos in periodically forced Rolling type II predator-prey system with impulsive perturbations, Chaos Soliton. Fract. 28(1), 367-376 (2006).
    • (2006) Chaos Soliton. Fract. , vol.28 , Issue.1 , pp. 367-376
    • Zhang, S.1    Tan, D.2    Chen, L.3
  • 27
    • 24344490756 scopus 로고    scopus 로고
    • Chaos in periodically forced Holling type IV predator-prey system with impulsive perturbations
    • Zhang, S., Tan, D. and Chen, L., Chaos in periodically forced Holling type IV predator-prey system with impulsive perturbations, Chaos Soliton. Fract. 27(3), 980-990 (2006).
    • (2006) Chaos Soliton. Fract. , vol.27 , Issue.3 , pp. 980-990
    • Zhang, S.1    Tan, D.2    Chen, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.