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Volumn 125, Issue 7, 1997, Pages 2041-2050

On a predator-prey system of rolling type

Author keywords

Functional response; Global asymptotic stability; Limit cycles; Predator prey system

Indexed keywords


EID: 0007420124     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03901-4     Document Type: Article
Times cited : (106)

References (12)
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  • 2
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  • 4
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    • Non-existence of limit cycles for some predator-prey systems
    • World Scientific, Singapore, CMP 94:02
    • A. Gasull and A. Guillamon, Non-existence of limit cycles for some predator-prey systems, Proceedings of Equadiff' 91, pp. 538-543, World Scientific, Singapore, 1993. CMP 94:02
    • (1993) Proceedings of Equadiff' 91 , pp. 538-543
    • Gasull, A.1    Guillamon, A.2
  • 5
    • 0002366911 scopus 로고
    • The functional response of predators to prey density and its role in mimicry and population regulation
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    • (1965) Mem. Ent. Soc. Can. , vol.45 , pp. 1-60
    • Holling, C.S.1
  • 6
    • 0007790159 scopus 로고
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    • MR 89i:92043
    • X.-C. Huang, Uniqueness of limit cycles of generalised Liénard systems and predator-prey systems, J. Phys. A: Math. Gen. 21 (1988), L685-LG91. MR 89i:92043
    • (1988) J. Phys. A: Math. Gen. , vol.21
    • Huang, X.-C.1
  • 7
    • 0000671790 scopus 로고
    • Global stability of Cause-type predator-prey systems
    • MR 91g:92017
    • Y. Kuang, Global stability of Cause-type predator-prey systems, J. Math. Biol. 28 (1990), 463-474. MR 91g:92017
    • (1990) J. Math. Biol. , vol.28 , pp. 463-474
    • Kuang, Y.1
  • 8
    • 0002861760 scopus 로고
    • Uniqueness of limit cycles in Cause-type models of predatorprey system
    • MR 89g:92045
    • Y. Kuang and H. I. Freedman, Uniqueness of limit cycles in Cause-type models of predatorprey system, Math. Biosci. 88 (1988), 67-84. MR 89g:92045
    • (1988) Math. Biosci. , vol.88 , pp. 67-84
    • Kuang, Y.1    Freedman, H.I.2
  • 10
    • 0001752184 scopus 로고
    • Ecological determinants of functional response
    • L. A. Real, Ecological determinants of functional response, Ecology 60 (1979), 481-485.
    • (1979) Ecology , vol.60 , pp. 481-485
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  • 11
    • 0000853045 scopus 로고
    • Non-existence of periodic solutions of the Liénard system
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    • J. Sugie and T. Kara, Non-existence of periodic solutions of the Liénard system, 3. Math. Anal. Appl. 159 (1991), 224-236. MR 92m:34095
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    • Sugie, J.1    Kara, T.2
  • 12
    • 0343364800 scopus 로고    scopus 로고
    • Absence of limit cycles of a predator-prey system with a sigmoid functional response
    • CMP 97:03
    • J. Sugie, K. Miyamoto and K. Morino, Absence of limit cycles of a predator-prey system with a sigmoid functional response, Appl. Math. Lett. 9 (1996), 85-90. CMP 97:03
    • (1996) Appl. Math. Lett. , vol.9 , pp. 85-90
    • Sugie, J.1    Miyamoto, K.2    Morino, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.