On Volterra-Lotka systems†
- 1 January 1975
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 6 (1) , 49-55
- https://doi.org/10.1080/00207727508941794
Abstract
The classical predator-prey model of Lotku, and Rescigno and Richardson are combined to derive a mathematical model for the case of two trophic levels. The simplest level involves only ordinary differential equations discussed by Lotka and Volterra. The more general level is hereditary equations where the whole history of process comes into play. The stability properties for two trophic levels involving hereditary equations are analysed. Our analysis is based on the notable work of Hale's theory.Keywords
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