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Volumn 23, Issue 1, 2007, Pages 1-6

On the predator-prey system with Holling-(n + 1) functional response

Author keywords

Dulac function; Limit cycle; Predator prey system; Uniqueness

Indexed keywords


EID: 33845878254     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-005-0603-8     Document Type: Article
Times cited : (17)

References (11)
  • 1
    • 0002924819 scopus 로고
    • Variazioni e fluttuazioni del numero d'individui in specie animali conviventi
    • Volterra, V.: Variazioni e fluttuazioni del numero d'individui in specie animali conviventi. Mem. Res. Com. Tolassogr. Ital., 131, 1-142 (1927)
    • (1927) Mem. Res. Com. Tolassogr. Ital. , vol.131 , pp. 1-142
    • Volterra, V.1
  • 3
    • 0001524523 scopus 로고
    • Graphical representation and stability condition of predator-prey interaction
    • Rosenzweig, M. L., MacArthur, R. H.: Graphical representation and stability condition of predator-prey interaction. Am. Nat., 47, 209-223 (1963)
    • (1963) Am. Nat. , vol.47 , pp. 209-223
    • Rosenzweig, M.L.1    MacArthur, R.H.2
  • 4
    • 0001747368 scopus 로고
    • Uniqueness of a limit cycle for a predator-prey system
    • Cheng, K. S.: Uniqueness of a limit cycle for a predator-prey system. SIAM J. Math. Anal., 12, 541-548 (1981)
    • (1981) SIAM J. Math. Anal. , vol.12 , pp. 541-548
    • Cheng, K.S.1
  • 5
    • 0002861760 scopus 로고
    • Uniqueness of limit cycles in Gause type models of predator-prey systems
    • Kuang, Y., Freedman, H. I.: Uniqueness of limit cycles in Gause type models of predator-prey systems. Math. Biosci., 88, 67-84 (1988)
    • (1988) Math. Biosci. , vol.88 , pp. 67-84
    • Kuang, Y.1    Freedman, H.I.2
  • 6
    • 34250124159 scopus 로고
    • The qualitative analysis of two species predator-prey model with Holling's type III functional response
    • Chen, J. P., Zhang, H. D.: The qualitative analysis of two species predator-prey model with Holling's type III functional response. Appl. Math. Mech., 7, 77-86 (1986)
    • (1986) Appl. Math. Mech. , vol.7 , pp. 77-86
    • Chen, J.P.1    Zhang, H.D.2
  • 7
    • 0007589585 scopus 로고
    • On a kind of predator-prey system
    • Ding, S. H.: On a kind of predator-prey system. SIAM J. Math. Anal., 20(6), 1426-1435 (1989)
    • (1989) SIAM J. Math. Anal. , vol.20 , Issue.6 , pp. 1426-1435
    • Ding, S.H.1
  • 8
    • 0007420124 scopus 로고    scopus 로고
    • On a predator-prey system of Holling type
    • Sugie, J., Kohno, R., Miyazaki, R.: On a predator-prey system of Holling type. Proc. A. M. S., 125(7), 2041-2050 (1997)
    • (1997) Proc. A. M. S. , vol.125 , Issue.7 , pp. 2041-2050
    • Sugie, J.1    Kohno, R.2    Miyazaki, R.3
  • 9
    • 0031232497 scopus 로고    scopus 로고
    • Qualitative properties of two-dimensional predator-prey systems
    • Kooij, R. E., Zegeling, A.: Qualitative properties of two-dimensional predator-prey systems. Nonlinear Analysis, TMA, 6, 693-715 (1997)
    • (1997) Nonlinear Analysis, TMA , vol.6 , pp. 693-715
    • Kooij, R.E.1    Zegeling, A.2
  • 10
    • 33845899530 scopus 로고    scopus 로고
    • On the uniqueness of limit cycle for a class of predator-prey models with Holling functional response
    • Chen, L. J., Sun, J. H.: On the uniqueness of limit cycle for a class of predator-prey models with Holling functional response. Acta Mathematica Sinica, Chinese Series, 45(2), 383-388 (2002)
    • (2002) Acta Mathematica Sinica, Chinese Series , vol.45 , Issue.2 , pp. 383-388
    • Chen, L.J.1    Sun, J.H.2
  • 11
    • 84953472772 scopus 로고
    • Proof of the uniqueness theorem of limit cycles of generalized Lienard equation
    • Zhang, Z. F.: Proof of the uniqueness theorem of limit cycles of generalized Lienard equation. Appl. Anal., 23, 63-76 (1986)
    • (1986) Appl. Anal. , vol.23 , pp. 63-76
    • Zhang, Z.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.