Matematický ústav

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Preprint 18/2000

WEIGHT FUNCTION IN PREDATOR-PREY SYSTEM

By KAREL HASIK

We consider Gause model of interactions between predator and prey populations. Using the ideas of Cheng and Liou we give a sufficient condition of uniqueness of the limit cycle, which is more general than their condition. Viz., we include a kind of weight function in the condition. It was motivated by a result due to Tzy-Wei Hwang, where the prey isocline plays a role of weight function. Moreover, we show that the interval where the condition from Hwang's result is to be fulfilled can be narrowed.

Keywords and phrases: predator-prey system, limit cycle

1991 MS classification: 34C15, 34C35, 34D05, 92A15, 92A17

Poslední aktualizace stránky dne 18. ledna 2001, 12:27.

Tato stránka byla od 10. dubna 2002 navštívena 1580 krát.