학술저널
ON A LOTKA-VOLTERRA TYPE SIMPLE FOOD-CHAIN MODEL
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 3
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2007.09231 - 243 (13 pages)
- 0
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 e？？ect and Biological control. The methods of a decoupling operator and the ¯xed point index theory on a positive cone are used as well as the comparison argument. Numerical evidences for our results also are provided.
1. Introduction
2. Preparations
3. Coexistence of steady-states
4. Extinction result
References
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