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Volumn 33, Issue 2, 2007, Pages 463-478

Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; CONTROL THEORY; PERTURBATION TECHNIQUES; PESTICIDES; TIME VARYING SYSTEMS;

EID: 33847069939     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.019     Document Type: Article
Times cited : (41)

References (22)
  • 1
    • 0000967833 scopus 로고
    • A periodic prey-predator system
    • Amine Z., and Ortega R. A periodic prey-predator system. J Math Anal Appl 185 (1994) 477-489
    • (1994) J Math Anal Appl , vol.185 , pp. 477-489
    • Amine, Z.1    Ortega, R.2
  • 2
    • 0027338779 scopus 로고
    • Chaos in a periodically forced predator-prey ecosystem model
    • Sabin G., and Summers D. Chaos in a periodically forced predator-prey ecosystem model. Math Biosci 113 (1993) 91-113
    • (1993) Math Biosci , vol.113 , pp. 91-113
    • Sabin, G.1    Summers, D.2
  • 3
    • 0003033405 scopus 로고
    • Pest control using the fungi Beauveria and Metarhizinm
    • Burges H.D. (Ed), Academic, London
    • Ferron P. Pest control using the fungi Beauveria and Metarhizinm. In: Burges H.D. (Ed). Microbial control in pests and plant diseases (1981), Academic, London
    • (1981) Microbial control in pests and plant diseases
    • Ferron, P.1
  • 4
    • 84971150711 scopus 로고
    • On the stability of impulsively perturbed differential systems
    • Pandit S.G. On the stability of impulsively perturbed differential systems. Bull Austral Math Soc 17 (1977) 423-432
    • (1977) Bull Austral Math Soc , vol.17 , pp. 423-432
    • Pandit, S.G.1
  • 5
    • 0001962599 scopus 로고
    • Stabling of systems described by differential equations containing impulses
    • Pavidis T. Stabling of systems described by differential equations containing impulses. IEEE Trans AC-2 (1967) 43-45
    • (1967) IEEE Trans , vol.AC-2 , pp. 43-45
    • Pavidis, T.1
  • 6
    • 0002219861 scopus 로고
    • The second method of Lyapunov for systems with impulsive effect
    • Simeonov P.S., and Bainov D.D. The second method of Lyapunov for systems with impulsive effect. Tamkang J Math 16 (1985) 19-40
    • (1985) Tamkang J Math , vol.16 , pp. 19-40
    • Simeonov, P.S.1    Bainov, D.D.2
  • 7
    • 0022755231 scopus 로고
    • Stability with respect to part of the variables in systems with impulsive effect
    • Simeonov P.S., and Bainov D.D. Stability with respect to part of the variables in systems with impulsive effect. J Math Anal 117 (1986) 247-263
    • (1986) J Math Anal , vol.117 , pp. 247-263
    • Simeonov, P.S.1    Bainov, D.D.2
  • 8
    • 38249022731 scopus 로고
    • On the asymptotic stability of systems with impulses by direct of Lyapunov
    • Kulev G.K., and Bainov D.D. On the asymptotic stability of systems with impulses by direct of Lyapunov. J Math Anal Appl 140 (1989) 324-340
    • (1989) J Math Anal Appl , vol.140 , pp. 324-340
    • Kulev, G.K.1    Bainov, D.D.2
  • 11
    • 0031750774 scopus 로고    scopus 로고
    • The dynamics of an infectious disease in a population with birth pulse
    • Roberts M.G., and Kao R.R. The dynamics of an infectious disease in a population with birth pulse. Math Biosci 149 (1998) 23-36
    • (1998) Math Biosci , vol.149 , pp. 23-36
    • Roberts, M.G.1    Kao, R.R.2
  • 12
    • 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. Dyn Cont Discr Impulsive Syst 7 (2000) 265-287
    • (2000) Dyn Cont Discr Impulsive Syst , vol.7 , pp. 265-287
    • Lakmeche, A.1    Arino, O.2
  • 13
    • 0002366911 scopus 로고
    • The functional response of predator to prey density and its role in mimicry and population regulation
    • Holling C.S. 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
  • 14
    • 0037332898 scopus 로고    scopus 로고
    • Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
    • Liu X.N., and Chen L.S. 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
  • 15
    • 1842581466 scopus 로고    scopus 로고
    • Dynamic complexities of a Holling I predator-prey model concerning biological and chemical control
    • Liu B., Zhang Y.J., and Chen L.S. Dynamic complexities of a Holling I predator-prey model concerning biological and chemical control. Chaos, Solitons & Fractals 22 (2004) 123-134
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 123-134
    • Liu, B.1    Zhang, Y.J.2    Chen, L.S.3
  • 16
    • 13444288053 scopus 로고    scopus 로고
    • A Holling II functional response food chain model with impulsive perturbations
    • Zhang S.W., and Chen L.S. A Holling II functional response food chain model with impulsive perturbations. Chaos, Solitons & Fractals 24 (2005) 1269-1278
    • (2005) Chaos, Solitons & Fractals , vol.24 , pp. 1269-1278
    • Zhang, S.W.1    Chen, L.S.2
  • 18
    • 0002986807 scopus 로고    scopus 로고
    • Measures of success in biological control of anthropoids by augmentation of natural enemies
    • Wratten S., and Gurr G. (Eds), Kluwer, Dordrecht
    • Van Lenteren J.C. Measures of success in biological control of anthropoids by augmentation of natural enemies. In: Wratten S., and Gurr G. (Eds). Measures of success in biological control (2000), Kluwer, Dordrecht
    • (2000) Measures of success in biological control
    • Van Lenteren, J.C.1
  • 19
    • 0035108340 scopus 로고    scopus 로고
    • A two-component model of host-parasitoid interactions: determination of the size of inundative releases of parasitoids in biological pest control
    • Grasman J., Van Herwaarden O.A., Hemerik L., et al. A two-component model of host-parasitoid interactions: determination of the size of inundative releases of parasitoids in biological pest control. Math Biosci 169 (2001) 207-216
    • (2001) Math Biosci , vol.169 , pp. 207-216
    • Grasman, J.1    Van Herwaarden, O.A.2    Hemerik, L.3
  • 20
    • 0842337246 scopus 로고    scopus 로고
    • Pathogen incidence and their potential as microbial control agents in IPM of maize stemborers in West Africa
    • Cherry A.J., Lomer C.J., Djegvi D., and Schulthess F. Pathogen incidence and their potential as microbial control agents in IPM of maize stemborers in West Africa. Biocontrol 44 (1999) 301-327
    • (1999) Biocontrol , vol.44 , pp. 301-327
    • Cherry, A.J.1    Lomer, C.J.2    Djegvi, D.3    Schulthess, F.4
  • 21
    • 0038239680 scopus 로고    scopus 로고
    • Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems
    • Venkatesan A., Parthasarathy S., and Lakshmanan M. 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    Parthasarathy, S.2    Lakshmanan, M.3
  • 22
    • 0012104775 scopus 로고
    • Routes to chaos with special emphasis on period doubling
    • Iooss G., et al. (Ed), Elsevier, North-Holland, Amsterdam
    • Eckmann J.P. Routes to chaos with special emphasis on period doubling. In: Iooss G., et al. (Ed). Chaotic behavior of deterministic systems (1983), Elsevier, North-Holland, Amsterdam
    • (1983) Chaotic behavior of deterministic systems
    • Eckmann, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.