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A predator-prey model with Ivlev’s functional response. (English) Zbl 0851.34030
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.

MSC:
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
92D25 Population dynamics (general)
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