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Zbl 0851.34030
Kooij, R.E.; Zegeling, A.
A predator-prey model with Ivlev's functional response. (English)
[J] J. Math. Anal. Appl. 198, No.2, 473-489 (1996). ISSN 0022-247X

The uniqueness of limit cycles is proved for a two-dimensional predator-prey system with a functional response of Ivlev type. The system of planar autonomous ODE's is transformed to a Liénard system to which a modified theorem of Zhang is applied.
[B.D.Sleeman (Leeds)]

MSC 2000:: *34C05 Qualitative theory of some special solutions of ODE
92D25 Population dynamics

Keywords: uniqueness of limit cycles; two-dimensional predator-prey system; functional response of Ivlev type; Liénard system

Cited in: Zbl 1037.92029 Zbl 1003.34027

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