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Stability of a three-species symbiosis model with delays

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Abstract

In this paper, a three-species symbiosis Lotka–Volterra model with discrete delays is considered. The local stability of positive equilibrium is investigated through constructing a proper Lyapunov function. A detailed and explicit procedure of obtaining sufficient conditions for local stability of the positive equilibrium of the system along with an estimate size of allowable delay is provided.

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Authors and Affiliations

  1. College of Management and Economic, Tianjin University, Tianjin, 300072, China

    Junhai Ma, Qi Zhang & Qin Gao

  2. Tianjin University of Finance and Economics, Tianjin, 300222, China

    Junhai Ma

  3. School of Economics and Management, Hebei University of Science and Technology, Shijiazhuang, 050000, China

    Qin Gao

Authors
  1. Junhai Ma
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  2. Qi Zhang
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  3. Qin Gao
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Correspondence to Junhai Ma.

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Ma, J., Zhang, Q. & Gao, Q. Stability of a three-species symbiosis model with delays. Nonlinear Dyn 67, 567–572 (2012). https://doi.org/10.1007/s11071-011-0009-3

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  • DOI: https://doi.org/10.1007/s11071-011-0009-3

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