On a predator-prey system of Gause type
Language English Country Germany Media print-electronic
Document type Journal Article, Research Support, Non-U.S. Gov't
- MeSH
- Models, Biological * MeSH
- Mathematical Concepts MeSH
- Population Dynamics MeSH
- Food Chain * MeSH
- Predatory Behavior MeSH
- Animals MeSH
- Check Tag
- Animals MeSH
- Publication type
- Journal Article MeSH
- Research Support, Non-U.S. Gov't MeSH
In this paper a Gause type model of interactions between predator and prey population is considered. We deal with the sufficient condition due to Kuang and Freedman in the generalized form including a kind of weight function. In a previous paper we proved that the existence of such weight function implies the uniqueness of limit cycle. In the present paper we give a new condition equivalent to the existence of a weight function (Theorem 4.4). As a consequence of our result, it is shown that some simple qualitative properties of the trophic function and the prey isocline ensure the uniqueness of limit cycle.
