Two-Parameter Bifurcation in a Predator-Prey System of Ivlev Type

Journal of Mathematical Analysis and Applications

Volumn 217, Issue 2, 1998, Pages 349-371

  Sugie, Jitsuro ^a  

^a SHIMANE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001628540     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5700     Document Type: Article

References (8)

1. Gasull A., Guillamon A. Non-existence of limit cycles for some predator-prey systems. Proceedings of Equadiff '91. 1993;World Scientific, Singapore. p. 538-543.
2. Ivlev V. S. Experimental Ecology of the Feeding of Fishes. 1961;Yale University Press.
3. Kooij R. E., Zegeling A. A predator-prey model with Ivlev's functional response. J. Math. Anal. Appl. 198:1996;473-489.
4. Kuang Y., Freedman H. I. Uniqueness of limit cycles in Gause-type models of predator-prey systems. Math. Biosci. 88:1988;67-84.
5. May R. M. Stability and Complexity in Model Ecosystems. 1974;Princeton University Press.
6. Rosenzweig M. L. Paradox of enrichment: destabilization of exploitation ecosystems in ecological time. Science. 171:1971;385-387.
7. Sugie J., Hara T. Non-existence of periodic solutions of the Liénard system. J. Math. Anal. Appl. 159:1991;224-236.
8. Sugie J., Kohno R., Miyazaki R. On a predator-prey system of Holling type. Proc. Amer. Math. Soc. 125:1997;2041-2050.