On a predator-prey system of Holling type

Sugie, Jitsuro; Kohno, Rie; Miyazaki, Rinko

doi:10.1090/S0002-9939-97-03901-4

On a predator-prey system of Holling type
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by Jitsuro Sugie, Rie Kohno and Rinko Miyazaki

Proc. Amer. Math. Soc. 125 (1997), 2041-2050

DOI: https://doi.org/10.1090/S0002-9939-97-03901-4

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Abstract:

We consider the predator-prey system with a fairly general functional response of Holling type and give a necessary and sufficient condition under which this system has exactly one stable limit cycle. Our result extends previous results and is an answer to a conjecture which was recently presented by Sugie, Miyamoto and Morino.

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