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Analysis of a Class of Lotka–Volterra Systems

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Abstract

A two-dimensional cubic Lotka–Volterra model with infinitesimal parameters is studied. Two different degenerate cases have been considered. The local behavior of the model has been studied in these cases. Sixteen different bifurcation diagrams with forty different regions describe the model’s behavior in the two cases.

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Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

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Acknowledgements

This research was supported by Horizon2020-2017-RISE-777911 project.

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Authors and Affiliations

  1. Department of Mathematics, Politehnica University of Timisoara, Timisoara, Romania

    G. Moza

  2. Department of Applied Mathematics, University of Craiova, Craiova, Romania

    D. Constantinescu & L. Bucur

  3. Department of Mathematics, University of Craiova, Craiova, Romania

    R. Efrem

  4. Department of Physics, University of Craiova, Craiova, Romania

    R. Constantinescu

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  1. G. Moza
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  2. D. Constantinescu
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  3. R. Efrem
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  4. L. Bucur
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  5. R. Constantinescu
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Correspondence to G. Moza.

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Moza, G., Constantinescu, D., Efrem, R. et al. Analysis of a Class of Lotka–Volterra Systems. Qual. Theory Dyn. Syst. 21, 32 (2022). https://doi.org/10.1007/s12346-022-00563-4

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