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Material recycling in a closed aquatic ecosystem. II. Bifurcation analysis of a simple food-chain model

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Abstract

The present paper deals with the bifurcation analysis of a simple food chain model consisting of components like detritus, nutrients, microorganisms, phytoplankton and zooplankton in an aquatic environment. The food chain model is described by a system of differential equations. If the length of the food chain (LFCH) is equal to 3 or 4, then an asymptotically stable equilibrium exists. For LFCH=5 or 6 the non-trivial equilibrium is unstable and the food-chain model has periodic orbits.

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  1. Department of Computer Science, Faculty of Natural Sciences, University of Education, Piaristická 10, 949 74, Nitra, Slovak Republic

    Tibor Kmeť

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  1. Tibor Kmeť
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Kmeť, T. Material recycling in a closed aquatic ecosystem. II. Bifurcation analysis of a simple food-chain model. Bltn Mathcal Biology 58, 983–1000 (1996). https://doi.org/10.1007/BF02459493

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  • DOI: https://doi.org/10.1007/BF02459493

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