메뉴 건너뛰기




Volumn 85, Issue , 2013, Pages 204-213

Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps

Author keywords

Predator prey model L vy noise Stability in mean Extinction

Indexed keywords

LESLIE-GOWER; NOISE STABILITY; POPULATION SYSTEM; POSITIVE SOLUTION; PREDATOR - PREY SYSTEM; SUFFICIENT CONDITIONS;

EID: 84875736026     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2013.02.018     Document Type: Article
Times cited : (124)

References (23)
  • 1
    • 0242364789 scopus 로고    scopus 로고
    • Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
    • M.A. Aziz-Alaoui, and M. Daher Okiye 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
  • 2
    • 33745235550 scopus 로고    scopus 로고
    • Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
    • DOI 10.1016/j.nonrwa.2005.10.003, PII S1468121805001380
    • A.F. Nindjin, M.A. Aziz-Alaoui, and M. Cadivel Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay Nonlinear Anal. RWA 7 2006 1104 1118 (Pubitemid 43922468)
    • (2006) Nonlinear Analysis: Real World Applications , vol.7 , Issue.5 , pp. 1104-1118
    • Nindjin, A.F.1    Aziz-Alaoui, M.A.2    Cadivel, M.3
  • 3
    • 38649128485 scopus 로고    scopus 로고
    • An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes
    • DOI 10.1016/j.chaos.2006.08.010, PII S096007790600806X
    • H. Guo, and X. Song An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes Chaos Solitons Fractals 36 2008 1320 1331 (Pubitemid 351172781)
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.5 , pp. 1320-1331
    • Guo, H.1    Song, X.2
  • 4
    • 35248900454 scopus 로고    scopus 로고
    • Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect
    • DOI 10.1016/j.nonrwa.2006.09.004, PII S1468121806001106
    • X. Song, and Y. Li Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect Nonlinear Anal. RWA 9 2008 64 79 (Pubitemid 47562887)
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.1 , pp. 64-79
    • Song, X.1    Li, Y.2
  • 5
    • 48349116901 scopus 로고    scopus 로고
    • Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
    • R. Yafia, F. Adnani, and H.T. Alaoui Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes Nonlinear Anal. RWA 9 2008 2055 2067
    • (2008) Nonlinear Anal. RWA , vol.9 , pp. 2055-2067
    • Yafia, R.1    Adnani, F.2    Alaoui, H.T.3
  • 6
    • 67349110799 scopus 로고    scopus 로고
    • Global stability of a Leslie-Gower predator-prey model with feedback controls
    • L. Chen, and F. Chen Global stability of a Leslie-Gower predator-prey model with feedback controls Appl. Math. Lett. 22 2009 1330 1334
    • (2009) Appl. Math. Lett. , vol.22 , pp. 1330-1334
    • Chen, L.1    Chen, F.2
  • 7
    • 64049105932 scopus 로고    scopus 로고
    • On a Leslie-Gower predator-prey model incorporating a prey refuge
    • F. Chen, L. Chen, and X. Xie On a Leslie-Gower predator-prey model incorporating a prey refuge Nonlinear Anal. RWA 10 2009 2905 2908
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 2905-2908
    • Chen, F.1    Chen, L.2    Xie, X.3
  • 8
    • 67650529523 scopus 로고    scopus 로고
    • Analysis of a predator-prey model with modified Leslie-Gower and Hollingtype II schemes with stochastic perturbation
    • C. Ji, D. Jiang, and N. Shi Analysis of a predator-prey model with modified Leslie-Gower and Hollingtype II schemes with stochastic perturbation J. Math. Anal. Appl. 359 2009 482 498
    • (2009) J. Math. Anal. Appl. , vol.359 , pp. 482-498
    • Ji, C.1    Jiang, D.2    Shi, N.3
  • 9
    • 78651240619 scopus 로고    scopus 로고
    • A note on a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
    • C. Ji, D. Jiang, and N. Shi A note on a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation J. Math. Anal. Appl. 377 2011 435 440
    • (2011) J. Math. Anal. Appl. , vol.377 , pp. 435-440
    • Ji, C.1    Jiang, D.2    Shi, N.3
  • 10
    • 77950917404 scopus 로고    scopus 로고
    • Qualitative analysis of a modified Leslie-Gower and Holling-type II predator-prey model with state dependent impulsive effects
    • L. Nie, Z. Teng, L. Hu, and J. Peng Qualitative analysis of a modified Leslie-Gower and Holling-type II predator-prey model with state dependent impulsive effects Nonlinear Anal. RWA 11 2010 1364 1373
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 1364-1373
    • Nie, L.1    Teng, Z.2    Hu, L.3    Peng, J.4
  • 11
    • 77958016606 scopus 로고    scopus 로고
    • Existence and attractivity of a periodic solution for a ratio-dependent Leslie system with feedback controls
    • Q. Wang, J. Zhou, Z. Wang, M. Ding, and H. Zhang Existence and attractivity of a periodic solution for a ratio-dependent Leslie system with feedback controls Nonlinear Anal. RWA 12 2011 24 33
    • (2011) Nonlinear Anal. RWA , vol.12 , pp. 24-33
    • Wang, Q.1    Zhou, J.2    Wang, Z.3    Ding, M.4    Zhang, H.5
  • 12
    • 79955523591 scopus 로고    scopus 로고
    • Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge
    • X. Guan, W. Wang, and Y. Cai Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge Nonlinear Anal. RWA 12 2011 2385 2395
    • (2011) Nonlinear Anal. RWA , vol.12 , pp. 2385-2395
    • Guan, X.1    Wang, W.2    Cai, Y.3
  • 13
    • 84864915943 scopus 로고    scopus 로고
    • Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes
    • 10.1155/2012/208167
    • S. Yu Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes Discrete Dyn. Nat. Soc. 2012 10.1155/2012/208167
    • (2012) Discrete Dyn. Nat. Soc.
    • Yu, S.1
  • 14
    • 84857796596 scopus 로고    scopus 로고
    • Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
    • M. Banerjee, and S. Banerjee Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model Math. Biosci. 236 2012 64 76
    • (2012) Math. Biosci. , vol.236 , pp. 64-76
    • Banerjee, M.1    Banerjee, S.2
  • 15
    • 80051597036 scopus 로고    scopus 로고
    • Competitive Lotka-Volterra population dynamics with jumps
    • J. Bao, X. Mao, G. Yin, and C. Yuan Competitive Lotka-Volterra population dynamics with jumps Nonlinear Anal. 74 2011 6601 6616
    • (2011) Nonlinear Anal. , vol.74 , pp. 6601-6616
    • Bao, J.1    Mao, X.2    Yin, G.3    Yuan, C.4
  • 16
    • 84858280723 scopus 로고    scopus 로고
    • Stochastic population dynamics driven by Lévy noise
    • J. Bao, and C. Yuan Stochastic population dynamics driven by Lévy noise J. Math. Anal. Appl. 391 2012 363 375
    • (2012) J. Math. Anal. Appl. , vol.391 , pp. 363-375
    • Bao, J.1    Yuan, C.2
  • 17
    • 31344446224 scopus 로고    scopus 로고
    • Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations
    • DOI 10.1016/j.spa.2005.08.004, PII S030441490500116X
    • S. Peng, and X. Zhu Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations Stochastic Process. Appl. 116 2006 370 380 (Pubitemid 43144869)
    • (2006) Stochastic Processes and their Applications , vol.116 , Issue.3 , pp. 370-380
    • Peng, S.1    Zhu, X.2
  • 18
    • 79960381828 scopus 로고    scopus 로고
    • Survival analysis of a stochastic cooperation system in a polluted environment
    • M. Liu, and K. Wang Survival analysis of a stochastic cooperation system in a polluted environment J. Biol. Systems 19 2011 183 204
    • (2011) J. Biol. Systems , vol.19 , pp. 183-204
    • Liu, M.1    Wang, K.2
  • 19
    • 0039337197 scopus 로고
    • A strong law of large numbers for local martingales
    • R. Lipster A strong law of large numbers for local martingales Stochastics 3 1980 217 228
    • (1980) Stochastics , vol.3 , pp. 217-228
    • Lipster, R.1
  • 21
    • 77949485245 scopus 로고    scopus 로고
    • Itô's stochastic calculus: Its surprising power for applications
    • H. Kunita Itô's stochastic calculus: its surprising power for applications Stochastic Process. Appl. 120 2010 622 652
    • (2010) Stochastic Process. Appl. , vol.120 , pp. 622-652
    • Kunita, H.1
  • 22
    • 0031514913 scopus 로고    scopus 로고
    • The Euler scheme for Lévy driven stochastic differential equations
    • P. Protter, and D. Talay The Euler scheme for Lévy driven stochastic differential equations Ann. Probab. 25 1997 393 423
    • (1997) Ann. Probab. , vol.25 , pp. 393-423
    • Protter, P.1    Talay, D.2
  • 23
    • 72149109277 scopus 로고    scopus 로고
    • On hybrid competitive Lotka-Volterra ecosystems
    • C. Zhu, and G. Yin On hybrid competitive Lotka-Volterra ecosystems Nonlinear Anal. 71 2009 e1370 e1379
    • (2009) Nonlinear Anal. , vol.71
    • Zhu, C.1    Yin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.