A Predator–Prey Model with Ivlev's Functional Response

A Predator–Prey Model with Ivlev's Functional Response

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.

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Veröffentlicht in:Journal of mathematical analysis and applications 1996-03, Vol.198 (2), p.473-489
Hauptverfasser: Kooij, R.E., Zegeling, A.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
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Beschreibung
Zusammenfassung: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.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1996.0093