Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 20 Issue 3
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- Pages.231-243
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- 2007
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
ON A LOTKA-VOLTERRA TYPE SIMPLE FOOD-CHAIN MODEL
- Ko, Wonlyul (Department of Mathematics Korea University) ;
- Ryu, Kimun (Department of Mathematics Education Cheongju University)
- Received : 2007.06.15
- Published : 2007.09.30
Abstract
In this paper, we study a Lotka-Volterra type simple food chain model. We investigate the positive coexistence of the steady states to the model and give some results for the extinction of species under certain assumptions which can be interpreted as Domino effect and Biological control. The methods of a decoupling operator and the fixed point index theory on a positive cone are used as well as the comparison argument. Numerical evidences for our results also are provided.