Models with several species and trophic levels

  • Mimmo Iannelli
  • Andrea Pugliese
Part of the UNITEXT book series (UNITEXT, volume 79)


The interspecific competition and predation models for two species interaction, presented in Chaps. 6 and 7, can be used as building blocks for designing more general mechanisms and ecosystems. Moving beyond the two species framework, we are led to consider non-planar systems and we meet systems that are mathematically more complex, possibly requiring specific treatment and analysis, and provide new insights into ecological dynamics. Even though we will not aim to a complete description of the World in a Wall, this chapter is devoted to a few cases of three species dynamics that illustrate some complexities of multiple species interaction and introduce to the use of some more advanced mathematical technique.


Periodic Solution Hopf Bifurcation Unstable Manifold Stable Manifold Global Attractor 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Mimmo Iannelli
    • 1
  • Andrea Pugliese
    • 1
  1. 1.Department of MathematicsUniversity of TrentoItaly

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