메뉴 건너뛰기




Volumn 9, Issue 1, 2008, Pages 64-79

Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect

Author keywords

Bifurcation; Holling type II; Impulsive effect; Leslie Gower; Predator prey system

Indexed keywords

BIFURCATION (MATHEMATICS); PARAMETER ESTIMATION; SYSTEM STABILITY;

EID: 35248900454     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2006.09.004     Document Type: Article
Times cited : (111)

References (24)
  • 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
    • 0036833066 scopus 로고    scopus 로고
    • Study of a Leslie-Gower-type tritrophic population
    • Aziz-Alaoui M.A. Study of a Leslie-Gower-type tritrophic population. Chaos Solitons Fractals 14 (2002) 1275-1293
    • (2002) Chaos Solitons Fractals , vol.14 , pp. 1275-1293
    • Aziz-Alaoui, M.A.1
  • 3
    • 0242364789 scopus 로고    scopus 로고
    • Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
    • Aziz-Alaoui M.A., and Daher Okiye M. Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes. Appl. Math. Lett. 16 (2003) 1069-1075
    • (2003) Appl. Math. Lett. , vol.16 , pp. 1069-1075
    • Aziz-Alaoui, M.A.1    Daher Okiye, M.2
  • 5
    • 0037200435 scopus 로고    scopus 로고
    • Pulse vaccination strategy in the SIR epidemic model: global asymptotic stable eradication in presence of vaccine failures
    • D'Onofrio A. Pulse vaccination strategy in the SIR epidemic model: global asymptotic stable eradication in presence of vaccine failures. Math. Comput. Modell. 36 (2002) 473-489
    • (2002) Math. Comput. Modell. , vol.36 , pp. 473-489
    • D'Onofrio, A.1
  • 6
    • 0027706230 scopus 로고
    • Invasion and chaos in a periodically pulsed mass-action chemostat
    • Funasaki E., and Kot M. Invasion and chaos in a periodically pulsed mass-action chemostat. Theor. Popul. Biol. 44 (1993) 203-424
    • (1993) Theor. Popul. Biol. , vol.44 , pp. 203-424
    • Funasaki, E.1    Kot, M.2
  • 7
    • 0035427292 scopus 로고    scopus 로고
    • A Lyapunov function for Leslie-Gower predator-prey models
    • Korobeinikov A. A Lyapunov function for Leslie-Gower predator-prey models. Appl. Math. Lett. 14 (2002) 697-699
    • (2002) Appl. Math. Lett. , vol.14 , pp. 697-699
    • Korobeinikov, A.1
  • 8
    • 0042834359 scopus 로고    scopus 로고
    • Nonlinear mathematical model of pulsed therapy of heterogeneous tumor
    • Lakmeche A., and Arino O. Nonlinear mathematical model of pulsed therapy of heterogeneous tumor. Nonlinear Anal. 2 (2001) 455-465
    • (2001) Nonlinear Anal. , vol.2 , pp. 455-465
    • Lakmeche, A.1    Arino, O.2
  • 10
    • 0000441117 scopus 로고
    • Some further notes on the use of matrices in population mathematics
    • Leslie P.H. Some further notes on the use of matrices in population mathematics. Biometrica 35 (1948) 213-245
    • (1948) Biometrica , vol.35 , pp. 213-245
    • Leslie, P.H.1
  • 11
    • 0001120901 scopus 로고
    • The properties of a stochastic model for the predator-prey type of interaction between two species
    • Leslie P.H., and Gower J.C. The properties of a stochastic model for the predator-prey type of interaction between two species. Biometrica 47 (1960) 219-234
    • (1960) Biometrica , vol.47 , pp. 219-234
    • Leslie, P.H.1    Gower, J.C.2
  • 12
    • 0036525993 scopus 로고    scopus 로고
    • Should all the species of a food chain be counted to investigate the global dynamics
    • Letellier C., Aguirré L., Maquet J., and Aziz-Alaoui M.A. Should all the species of a food chain be counted to investigate the global dynamics. Chaos Solitons Fractals 13 (2002) 1099-1113
    • (2002) Chaos Solitons Fractals , vol.13 , pp. 1099-1113
    • Letellier, C.1    Aguirré, L.2    Maquet, J.3    Aziz-Alaoui, M.A.4
  • 13
    • 0036028189 scopus 로고    scopus 로고
    • Analysis of the dynamics of a realistic ecological model
    • Letellier C., and Aziz-Alaoui M.A. Analysis of the dynamics of a realistic ecological model. Chaos Solitons Fractals 13 (2002) 95-107
    • (2002) Chaos Solitons Fractals , vol.13 , pp. 95-107
    • Letellier, C.1    Aziz-Alaoui, M.A.2
  • 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
  • 16
    • 0030140255 scopus 로고    scopus 로고
    • A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competition environment
    • Paneyya J.C. A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competition environment. Bull. Math. Biol. 58 (1996) 425-447
    • (1996) Bull. Math. Biol. , vol.58 , pp. 425-447
    • Paneyya, J.C.1
  • 18
    • 36448974335 scopus 로고
    • Some global results for nonlinear eigenvalue problems
    • Rabinowitz P.H. Some global results for nonlinear eigenvalue problems. J. Funct. Anal. 7 (1971) 487-513
    • (1971) J. Funct. Anal. , vol.7 , pp. 487-513
    • Rabinowitz, P.H.1
  • 19
    • 2942676278 scopus 로고
    • Multiple, attracto, catastrophes, and chaos in seasonally perturbed predator-prey communities
    • Rinaldi S., Muratori S., and Kuznetsov Y.A. Multiple, attracto, catastrophes, and chaos in seasonally perturbed predator-prey communities. Bull. Math. Biol. 55 (1993) 15-36
    • (1993) Bull. Math. Biol. , vol.55 , pp. 15-36
    • Rinaldi, S.1    Muratori, S.2    Kuznetsov, Y.A.3
  • 20
    • 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
  • 21
    • 0034143395 scopus 로고    scopus 로고
    • Theoretical examination of pulse vaccination policy in the SIR epidemic model
    • Shulgin B., Stone L., and Agur Z. Theoretical examination of pulse vaccination policy in the SIR epidemic model. Math. Comput. Model. 31 4/5 (2000) 207-215
    • (2000) Math. Comput. Model. , vol.31 , Issue.4-5 , pp. 207-215
    • Shulgin, B.1    Stone, L.2    Agur, Z.3
  • 22
    • 12444257448 scopus 로고    scopus 로고
    • The periodic predator-prey Lotka-Volterra model with impulsive effect
    • Tang S.Y., and Chen L.S. The periodic predator-prey Lotka-Volterra model with impulsive effect. J. Mech. Med. Biol. 2 (2002) 1-30
    • (2002) J. Mech. Med. Biol. , vol.2 , pp. 1-30
    • Tang, S.Y.1    Chen, L.S.2
  • 23
    • 0037406610 scopus 로고    scopus 로고
    • Multiple attractors in stage-structured population models with birth pulses
    • Tang S.Y., and Chen L.S. Multiple attractors in stage-structured population models with birth pulses. Bull. Math. Biol. 65 (2003) 479-495
    • (2003) Bull. Math. Biol. , vol.65 , pp. 479-495
    • Tang, S.Y.1    Chen, L.S.2
  • 24
    • 0031382090 scopus 로고    scopus 로고
    • Why chaos is rarely observed in natural populations
    • Upadhyay R.K., and Rai V. Why chaos is rarely observed in natural populations. Chaos Solitons Fractals 8 (1997) 1933-1939
    • (1997) Chaos Solitons Fractals , vol.8 , pp. 1933-1939
    • Upadhyay, R.K.1    Rai, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.