Bulletin of Mathematical Biology

, Volume 48, Issue 5–6, pp 455–468 | Cite as

Global stability of partially closed food-chains with resources

  • A. B. Roy
  • F. Solimano
Article
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Abstract

We consider the existence and global stability of aq-member equilibrium (1≤q≤n) in partially closed food-chains of lengthn having an abiotic component as resource. We observe that such existence demands bounds of resource supply rate and these bounds are weighted sums of interaction coefficients. Particular results of global sector-stability of partially feasible equilibria of simple food-chains obeying Lotka-Volterra dynamics are shown. Lastly the elasticity of such food-chains when a new species is introduced at the highest trophic level is investigated.

Keywords

Global Stability Supply Rate Positive Equilibrium Global Asymptotic Stability Dead Biomass 
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Copyright information

© Society for Mathematical Biology 1986

Authors and Affiliations

  • A. B. Roy
    • 1
  • F. Solimano
    • 2
  1. 1.Department of MathematicsJadavpur UniversityCalcuttaIndia
  2. 2.Istituto di BiomatematicaUniversità di UrbinoUrbinoItaly

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