메뉴 건너뛰기




Volumn 2012, Issue , 2012, Pages

Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84864915943     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2012/208167     Document Type: Article
Times cited : (47)

References (16)
  • 1
    • 0002366911 scopus 로고
    • The functional response of predator to prey density and its role in mimicry and population regulation, Men
    • Holling C. S., The functional response of predator to prey density and its role in mimicry and population regulation, Men Memoirs of the Entomological Society of Canada 1965 45 1 60
    • (1965) Memoirs of the Entomological Society of Canada , vol.45 , pp. 1-60
    • Holling, C.S.1
  • 2
    • 0001120901 scopus 로고
    • The properties of a stochastic model for the predator-prey type of interaction between two species
    • Leslie P. H., Gower J. C., The properties of a stochastic model for the predator-prey type of interaction between two species Biometrika 1960 47 219 234
    • (1960) Biometrika , vol.47 , pp. 219-234
    • Leslie, P.H.1    Gower, J.C.2
  • 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., Daher Okiye M., Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes Applied Mathematics Letters 2003 16 7 1069 1075
    • (2003) Applied Mathematics Letters , vol.16 , Issue.7 , pp. 1069-1075
    • Aziz-Alaoui, M.A.1    Daher Okiye, M.2
  • 4
    • 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
    • Guo H., Song X., An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes Chaos, Solitons and Fractals 2008 36 5 1320 1331 (Pubitemid 351172781)
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.5 , pp. 1320-1331
    • Guo, H.1    Song, X.2
  • 5
    • 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
    • Nindjin A. F., Aziz-Alaoui M. A., Cadivel M., Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay Nonlinear Analysis: Real World Applications 2006 7 5 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
  • 6
    • 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
    • Song X., Li Y., Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect Nonlinear Analysis: Real World Applications 2008 9 1 64 79 (Pubitemid 47562887)
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.1 , pp. 64-79
    • Song, X.1    Li, Y.2
  • 7
    • 84864932686 scopus 로고    scopus 로고
    • Stability of limit cycle in a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
    • Yafia R., El Adnani F., Talibi Alaoui H., Stability of limit cycle in a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay Applied Mathematical Sciences 2007 1 14 119 131
    • (2007) Applied Mathematical Sciences , vol.1 , Issue.14 , pp. 119-131
    • Yafia, R.1    El Adnani, F.2    Talibi Alaoui, H.3
  • 8
    • 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
    • Yafia R., El Adnani F., Alaoui H. T., 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 Analysis: Real World Applications 2008 9 5 2055 2067
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.5 , pp. 2055-2067
    • Yafia, R.1    El Adnani, F.2    Alaoui, H.T.3
  • 9
    • 79957498233 scopus 로고    scopus 로고
    • Dynamic behaviour of a delayed predator-prey model with harvesting
    • Kar T. K., Ghorai A., Dynamic behaviour of a delayed predator-prey model with harvesting Applied Mathematics and Computation 2011 217 22 9085 9104
    • (2011) Applied Mathematics and Computation , vol.217 , Issue.22 , pp. 9085-9104
    • Kar, T.K.1    Ghorai, A.2
  • 10
    • 77957841041 scopus 로고    scopus 로고
    • Boundedness and global stability for a predator-prey system with the Beddington-DeAngelis functional response
    • Khellaf W., Hamri N., Boundedness and global stability for a predator-prey system with the Beddington-DeAngelis functional response Differential Equations and Nonlinear Mechanics 2010 2010 24
    • (2010) Differential Equations and Nonlinear Mechanics , vol.2010 , pp. 24
    • Khellaf, W.1    Hamri, N.2
  • 12
    • 84990581010 scopus 로고
    • Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
    • Hirsch W. M., Hanisch H., Gabriel J.-P., Differential equation models of some parasitic infections: methods for the study of asymptotic behavior Communications on Pure and Applied Mathematics 1985 38 6 733 753
    • (1985) Communications on Pure and Applied Mathematics , vol.38 , Issue.6 , pp. 733-753
    • Hirsch, W.M.1    Hanisch, H.2    Gabriel, J.-P.3
  • 13
    • 84972502093 scopus 로고
    • Asymptotic behaviour of positive solutions of the nonautonomous Lotka-Volterra competition equations
    • Tineo A., Asymptotic behaviour of positive solutions of the nonautonomous Lotka-Volterra competition equations Differential and Integral Equations 1993 6 2 449 457
    • (1993) Differential and Integral Equations , vol.6 , Issue.2 , pp. 449-457
    • Tineo, A.1
  • 14
    • 84862285267 scopus 로고    scopus 로고
    • Stability property for the predator-free equilibrium point of predator-prey systems with a class of functional response and prey refuges
    • Chen F., Wu Y., Ma Z., Stability property for the predator-free equilibrium point of predator-prey systems with a class of functional response and prey refuges Discrete Dynamics in Nature and Society 2012 2012 5
    • (2012) Discrete Dynamics in Nature and Society , vol.2012 , pp. 5
    • Chen, F.1    Wu, Y.2    Ma, Z.3
  • 15
    • 33750838823 scopus 로고    scopus 로고
    • Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances
    • DOI 10.1016/j.amc.2006.04.034, PII S0096300306003778
    • Li Z., Chen F., Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances Applied Mathematics and Computation 2006 182 1 684 690 (Pubitemid 44716321)
    • (2006) Applied Mathematics and Computation , vol.182 , Issue.1 , pp. 684-690
    • Li, Z.1    Chen, F.2
  • 16
    • 33745154833 scopus 로고    scopus 로고
    • Extinction in a two dimensional Lotka-Volterra system with infinite delay
    • DOI 10.1016/j.nonrwa.2005.09.005, PII S1468121805001331
    • Montes De Oca F., Vivas M., Extinction in two dimensional Lotka-Volterra system with infinite delay Nonlinear Analysis: Real World Applications 2006 7 5 1042 1047 (Pubitemid 43903679)
    • (2006) Nonlinear Analysis: Real World Applications , vol.7 , Issue.5 , pp. 1042-1047
    • Montes De Oca, F.1    Vivas, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.